Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690r |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
286374528000 = 210 · 38 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7704,260928] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:744:1] |
Generators of the group modulo torsion |
j |
69370801987969/392832000 |
j-invariant |
L |
4.9504661460848 |
L(r)(E,1)/r! |
Ω |
0.97984707544702 |
Real period |
R |
0.84204740891604 |
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 |
10230ba1 |
Quadratic twists by: -3 |