Atkin-Lehner |
3+ 7- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557c |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1677208113 = 39 · 72 · 37 · 47 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1041,-12520] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:171:8] |
Generators of the group modulo torsion |
j |
6341898051/85211 |
j-invariant |
L |
10.156628267476 |
L(r)(E,1)/r! |
Ω |
0.84114419241633 |
Real period |
R |
3.0186941613712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000068535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557b1 |
Quadratic twists by: -3 |