Atkin-Lehner |
2+ 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650ba |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.2143792702637E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-480026,210903698] |
[a1,a2,a3,a4,a6] |
Generators |
[3372:190501:1] |
Generators of the group modulo torsion |
j |
-782882650278722449/777202732968750 |
j-invariant |
L |
6.5552245150729 |
L(r)(E,1)/r! |
Ω |
0.2054256556795 |
Real period |
R |
0.33240049045198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530n1 |
Quadratic twists by: 5 |