Atkin-Lehner |
2- 11- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30316d |
Isogeny class |
Conductor |
30316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
17340752 = 24 · 112 · 132 · 53 |
Discriminant |
Eigenvalues |
2- -2 -4 -4 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4:1] [-5:13:1] |
Generators of the group modulo torsion |
j |
1927561216/1083797 |
j-invariant |
L |
4.0185037132088 |
L(r)(E,1)/r! |
Ω |
1.8068020121179 |
Real period |
R |
0.74136581028395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121264h1 |
Quadratic twists by: -4 |