Atkin-Lehner |
3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
95475m |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-19132294921875 = -1 · 34 · 510 · 192 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -6 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15208,746869] |
[a1,a2,a3,a4,a6] |
Generators |
[682:2219:8] |
Generators of the group modulo torsion |
j |
-39835340800/1959147 |
j-invariant |
L |
17.431557644001 |
L(r)(E,1)/r! |
Ω |
0.67923302070795 |
Real period |
R |
3.2079487318497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95475d1 |
Quadratic twists by: 5 |