Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064f |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
21401449953603408 = 24 · 310 · 137 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250683,-47710872] |
[a1,a2,a3,a4,a6] |
j |
22559008000000/277116957 |
j-invariant |
L |
0.8540844062223 |
L(r)(E,1)/r! |
Ω |
0.21352110228743 |
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 |
5928j1 |
Quadratic twists by: 13 |