Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bx |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-28129528627200 = -1 · 214 · 34 · 52 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6324,-165744] |
[a1,a2,a3,a4,a6] |
Generators |
[36:312:1] |
Generators of the group modulo torsion |
j |
27970163417593151/28129528627200 |
j-invariant |
L |
10.531803824164 |
L(r)(E,1)/r! |
Ω |
0.36158137849109 |
Real period |
R |
0.1733753788394 |
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 |
90090by1 |
Quadratic twists by: -3 |