Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690v |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
52717718651400 = 23 · 33 · 52 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10718,248357] |
[a1,a2,a3,a4,a6] |
Generators |
[-11845:85539:125] |
Generators of the group modulo torsion |
j |
5042700998935587/1952508098200 |
j-invariant |
L |
8.9916259747899 |
L(r)(E,1)/r! |
Ω |
0.57479870967525 |
Real period |
R |
7.8215432841438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30690d4 |
Quadratic twists by: -3 |