Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232l |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-70271570542592 = -1 · 229 · 19 · 832 |
Discriminant |
Eigenvalues |
2- -1 4 -1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28296,-1866512] |
[a1,a2,a3,a4,a6] |
Generators |
[218130:9065426:125] |
Generators of the group modulo torsion |
j |
-611722215487369/17156145152 |
j-invariant |
L |
5.7586428921148 |
L(r)(E,1)/r! |
Ω |
0.18374640564031 |
Real period |
R |
7.8350415509456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154a1 100928u1 |
Quadratic twists by: -4 8 |