Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150a |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
51514101562500 = 22 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12192,-383284] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3583:1] |
Generators of the group modulo torsion |
j |
651714363/167500 |
j-invariant |
L |
4.644824316227 |
L(r)(E,1)/r! |
Ω |
0.46296412287482 |
Real period |
R |
2.5081988466971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150bn1 6030p1 |
Quadratic twists by: -3 5 |