Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802ch |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-74059245833158656 = -1 · 219 · 39 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-402422,-99026427] |
[a1,a2,a3,a4,a6] |
Generators |
[1577:-57237:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
9.4836287427213 |
L(r)(E,1)/r! |
Ω |
0.094718143801685 |
Real period |
R |
1.3174306812925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934g1 1098i1 |
Quadratic twists by: -3 -7 |