Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690z |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
346513178880 = 28 · 38 · 5 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-348188,79167327] |
[a1,a2,a3,a4,a6] |
Generators |
[317:597:1] |
Generators of the group modulo torsion |
j |
6403780138352571001/475326720 |
j-invariant |
L |
7.9108465553051 |
L(r)(E,1)/r! |
Ω |
0.72957112851761 |
Real period |
R |
1.3553932999273 |
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 |
10230j1 |
Quadratic twists by: -3 |