Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802ce |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3600102228000768 = -1 · 215 · 37 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10795,2851629] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-1776:1] |
Generators of the group modulo torsion |
j |
1622234375/41975808 |
j-invariant |
L |
9.6637449747345 |
L(r)(E,1)/r! |
Ω |
0.33331044238489 |
Real period |
R |
0.24161021642748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934f1 7686o1 |
Quadratic twists by: -3 -7 |