Atkin-Lehner |
2- 3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480x |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-222494605438320 = -1 · 24 · 311 · 5 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57466,5369851] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2139:1] |
Generators of the group modulo torsion |
j |
-1311729218364722944/13905912839895 |
j-invariant |
L |
6.1684443127916 |
L(r)(E,1)/r! |
Ω |
0.56216862903912 |
Real period |
R |
2.7431467720777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620i1 |
Quadratic twists by: -4 |