Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cn |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-4545708704603136 = -1 · 210 · 312 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126356,17621111] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-971:1] |
Generators of the group modulo torsion |
j |
-2601311308777/53001216 |
j-invariant |
L |
9.0916114033191 |
L(r)(E,1)/r! |
Ω |
0.43538211439037 |
Real period |
R |
1.0440956463993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20874n1 1278k1 |
Quadratic twists by: -3 -7 |