Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336h |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
1 |
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] |
j |
56800235584/1165671 |
j-invariant |
L |
1.9382976078727 |
L(r)(E,1)/r! |
Ω |
1.9382973756626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bb1 51168h1 |
Quadratic twists by: -4 8 |