Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518g |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
11189488068 = 22 · 37 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2052,35932] |
[a1,a2,a3,a4,a6] |
Generators |
[41:119:1] [-21:274:1] |
Generators of the group modulo torsion |
j |
985074875/11532 |
j-invariant |
L |
7.5320901775037 |
L(r)(E,1)/r! |
Ω |
1.2818506405467 |
Real period |
R |
0.73449374085077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506u1 67518bh1 |
Quadratic twists by: -3 -11 |