Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336bb |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
74602944 = 26 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-2274] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
56800235584/1165671 |
j-invariant |
L |
9.3914565099543 |
L(r)(E,1)/r! |
Ω |
1.1299022417733 |
Real period |
R |
1.1873917890624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336h1 51168m1 |
Quadratic twists by: -4 8 |