Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600x |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185794560 |
Modular degree for the optimal curve |
Δ |
1.8916519326515E+29 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1440172075,2155043260250] |
[a1,a2,a3,a4,a6] |
Generators |
[-8104093599365792709909267651369862163553183737530038153267460172426166423015:206229901610674286303113549625898384312642001768258815280707127346842356950050:211262725510628322438954694119820264798453086326582753002371770248044879] |
Generators of the group modulo torsion |
j |
5161630300553298943819449/2955706144768000000000 |
j-invariant |
L |
12.898802643284 |
L(r)(E,1)/r! |
Ω |
0.027304468285831 |
Real period |
R |
118.10157323204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950w1 23920l1 |
Quadratic twists by: -4 5 |