Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200i |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-2124800 = -1 · 210 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 -4 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-70] |
[a1,a2,a3,a4,a6] |
j |
540/83 |
j-invariant |
L |
4.9282173874311 |
L(r)(E,1)/r! |
Ω |
1.2320543468567 |
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 |
16600g1 33200n1 |
Quadratic twists by: -4 5 |