Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802ck |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
1837552178875392 = 210 · 36 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-318191,69133047] |
[a1,a2,a3,a4,a6] |
Generators |
[303:534:1] |
Generators of the group modulo torsion |
j |
41540367914137/21425152 |
j-invariant |
L |
7.9394450749858 |
L(r)(E,1)/r! |
Ω |
0.46317663451513 |
Real period |
R |
0.42853225331959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978f1 7686q1 |
Quadratic twists by: -3 -7 |