Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478c |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
57231878787072 = 212 · 33 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23352,-1318592] |
[a1,a2,a3,a4,a6] |
j |
1108717875/45056 |
j-invariant |
L |
0.77434578430967 |
L(r)(E,1)/r! |
Ω |
0.38717288629112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478bn3 198c1 |
Quadratic twists by: -3 -19 |