Atkin-Lehner |
3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525j |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
380894765625 = 32 · 57 · 114 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1875,9000] |
[a1,a2,a3,a4,a6] |
j |
46694890801/24377265 |
j-invariant |
L |
3.3467777441912 |
L(r)(E,1)/r! |
Ω |
0.83669443604868 |
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 |
91575v1 6105l1 |
Quadratic twists by: -3 5 |