Atkin-Lehner |
2- 3+ 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506s |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
636480 |
Modular degree for the optimal curve |
Δ |
17276476266533106 = 2 · 313 · 75 · 193 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 6 -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275709,55246833] |
[a1,a2,a3,a4,a6] |
Generators |
[2214:2781:8] |
Generators of the group modulo torsion |
j |
2317803635684079513937/17276476266533106 |
j-invariant |
L |
10.0068979802 |
L(r)(E,1)/r! |
Ω |
0.39149726230477 |
Real period |
R |
5.1121164532736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518o1 |
Quadratic twists by: -3 |