Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778c |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1855034744980032 = 26 · 37 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98345,11647557] |
[a1,a2,a3,a4,a6] |
j |
105193151438106201625/1855034744980032 |
j-invariant |
L |
0.939161957025 |
L(r)(E,1)/r! |
Ω |
0.4695809785125 |
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 |
70224cv1 26334bn1 61446w1 96558cc1 |
Quadratic twists by: -4 -3 -7 -11 |