Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2408a |
Isogeny class |
Conductor |
2408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4315136 = 211 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1832,-30800] |
[a1,a2,a3,a4,a6] |
Generators |
[2397:19360:27] |
Generators of the group modulo torsion |
j |
332205796946/2107 |
j-invariant |
L |
2.5291236594746 |
L(r)(E,1)/r! |
Ω |
0.7297071461356 |
Real period |
R |
6.9318867791509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4816c2 19264j2 21672i2 60200p2 |
Quadratic twists by: -4 8 -3 5 |