Atkin-Lehner |
2- 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bo |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
548655667560000 = 26 · 34 · 54 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35756,2342736] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:2032:1] |
Generators of the group modulo torsion |
j |
5055583142742245569/548655667560000 |
j-invariant |
L |
9.6420637425929 |
L(r)(E,1)/r! |
Ω |
0.5031187126443 |
Real period |
R |
0.39926228725406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090bn2 |
Quadratic twists by: -3 |