Atkin-Lehner |
3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475o |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2295875390625 = 35 · 58 · 192 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7688,248367] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:604:1] [-53:739:1] |
Generators of the group modulo torsion |
j |
3216231793081/146936025 |
j-invariant |
L |
8.0034812451565 |
L(r)(E,1)/r! |
Ω |
0.81039199835045 |
Real period |
R |
0.98760615379432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095d1 |
Quadratic twists by: 5 |