Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160v |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
57680632771840 = 28 · 5 · 133 · 295 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -4 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95248,11308508] |
[a1,a2,a3,a4,a6] |
Generators |
[4926:1682:27] |
Generators of the group modulo torsion |
j |
373294286161772544/225314971765 |
j-invariant |
L |
9.8657302782785 |
L(r)(E,1)/r! |
Ω |
0.61938733634938 |
Real period |
R |
1.5928207923052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540c1 120640cw1 |
Quadratic twists by: -4 8 |