Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bg |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
715936320 = 26 · 38 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,-709] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:31:1] |
Generators of the group modulo torsion |
j |
2305199161/982080 |
j-invariant |
L |
8.5376726700031 |
L(r)(E,1)/r! |
Ω |
1.2504475584674 |
Real period |
R |
1.1379489170617 |
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 |
10230s1 |
Quadratic twists by: -3 |