Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800cg |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-33218289950720000 = -1 · 216 · 54 · 7 · 415 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-154008,24912112] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:6560:1] |
Generators of the group modulo torsion |
j |
-157803419466025/12975894512 |
j-invariant |
L |
5.9085791389762 |
L(r)(E,1)/r! |
Ω |
0.36130934025038 |
Real period |
R |
0.27255403760753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999464219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350g1 114800bg2 |
Quadratic twists by: -4 5 |