Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030z |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
381010880250000 = 24 · 32 · 56 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34656,-2313231] |
[a1,a2,a3,a4,a6] |
Generators |
[463:-9241:1] |
Generators of the group modulo torsion |
j |
4603199529814599169/381010880250000 |
j-invariant |
L |
6.6389059100968 |
L(r)(E,1)/r! |
Ω |
0.35175034217689 |
Real period |
R |
1.1796196609594 |
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 |
90090bu2 |
Quadratic twists by: -3 |