Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825f |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
-1.6576030635057E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4281783,-7069653907] |
[a1,a2,a3,a4,a6] |
j |
-96381443866624/184024732275 |
j-invariant |
L |
1.5805877456492 |
L(r)(E,1)/r! |
Ω |
0.049393366960311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13965m1 69825bn1 |
Quadratic twists by: 5 -7 |