Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525u |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3147890625 = 32 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-776,-7927] |
[a1,a2,a3,a4,a6] |
j |
3301293169/201465 |
j-invariant |
L |
3.6325921310593 |
L(r)(E,1)/r! |
Ω |
0.90814803276498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575bf1 6105c1 |
Quadratic twists by: -3 5 |