Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bw |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
8927057018880 = 220 · 35 · 5 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177706,28818596] |
[a1,a2,a3,a4,a6] |
Generators |
[248:2:1] |
Generators of the group modulo torsion |
j |
620626247935593022369/8927057018880 |
j-invariant |
L |
10.037670027138 |
L(r)(E,1)/r! |
Ω |
0.66825703865517 |
Real period |
R |
0.30041344711724 |
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 |
90090bx1 |
Quadratic twists by: -3 |