Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275u |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
152805830078125 = 510 · 77 · 19 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15950,-504125] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:151:1] |
Generators of the group modulo torsion |
j |
390625/133 |
j-invariant |
L |
4.2974219110102 |
L(r)(E,1)/r! |
Ω |
0.43655088105342 |
Real period |
R |
2.4610086117799 |
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 |
23275bd1 3325a1 |
Quadratic twists by: 5 -7 |