Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026bn |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
382543144161552 = 24 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-421466,105416457] |
[a1,a2,a3,a4,a6] |
Generators |
[135:7071:1] |
Generators of the group modulo torsion |
j |
6411014266033/296208 |
j-invariant |
L |
6.1086887645933 |
L(r)(E,1)/r! |
Ω |
0.50369169873494 |
Real period |
R |
3.0319582295756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342c1 3366c1 |
Quadratic twists by: -3 -11 |