Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026p |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
790378397028 = 22 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,35833] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:313:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
6.5323571934416 |
L(r)(E,1)/r! |
Ω |
0.82301545207984 |
Real period |
R |
3.9685507586362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342y1 306d1 |
Quadratic twists by: -3 -11 |