Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2508a |
Isogeny class |
Conductor |
2508 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-1444608 = -1 · 28 · 33 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,551] |
[a1,a2,a3,a4,a6] |
j |
-1024000000/5643 |
j-invariant |
L |
2.7076337891236 |
L(r)(E,1)/r! |
Ω |
2.7076337891236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10032j1 40128i1 7524f1 62700e1 |
Quadratic twists by: -4 8 -3 5 |