Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810f |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-71351765520 = -1 · 24 · 3 · 5 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-273,-13083] |
[a1,a2,a3,a4,a6] |
j |
-6268848049/197650320 |
j-invariant |
L |
0.95226368398102 |
L(r)(E,1)/r! |
Ω |
0.47613185091643 |
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 |
75810ct1 |
Quadratic twists by: -19 |