Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cp |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-490111027875000 = -1 · 23 · 32 · 56 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5830,1053695] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:763:1] |
Generators of the group modulo torsion |
j |
186267240431/4165875000 |
j-invariant |
L |
8.2589252257762 |
L(r)(E,1)/r! |
Ω |
0.39243543410191 |
Real period |
R |
0.29229596727155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bc2 4830bb2 |
Quadratic twists by: -3 -7 |