Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300c |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-6046750000 = -1 · 24 · 56 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,400,2125] |
[a1,a2,a3,a4,a6] |
Generators |
[78060:579275:1728] |
Generators of the group modulo torsion |
j |
28311552/24187 |
j-invariant |
L |
6.4722707896492 |
L(r)(E,1)/r! |
Ω |
0.87228875772918 |
Real period |
R |
7.4198718916689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999300952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5092a1 |
Quadratic twists by: 5 |