Atkin-Lehner |
3+ 5+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
76095a |
Isogeny class |
Conductor |
76095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13888 |
Modular degree for the optimal curve |
Δ |
228285 = 33 · 5 · 19 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 0 6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33,69] |
[a1,a2,a3,a4,a6] |
j |
147197952/8455 |
j-invariant |
L |
6.1852756752485 |
L(r)(E,1)/r! |
Ω |
3.0926378451448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76095b1 |
Quadratic twists by: -3 |