Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525a |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-7154296875 = -1 · 32 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2783,57593] |
[a1,a2,a3,a4,a6] |
Generators |
[37:62:1] |
Generators of the group modulo torsion |
j |
-152615747584/457875 |
j-invariant |
L |
3.6134378146893 |
L(r)(E,1)/r! |
Ω |
1.3303182722895 |
Real period |
R |
0.3395275673834 |
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 |
91575y1 6105f1 |
Quadratic twists by: -3 5 |