Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450q |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-402560000000 = -1 · 213 · 57 · 17 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2838,64531] |
[a1,a2,a3,a4,a6] |
Generators |
[65:367:1] |
Generators of the group modulo torsion |
j |
-161789533849/25763840 |
j-invariant |
L |
6.2115736786106 |
L(r)(E,1)/r! |
Ω |
0.91364154053632 |
Real period |
R |
0.13074420839398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290a1 |
Quadratic twists by: 5 |