Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2650b |
Isogeny class |
Conductor |
2650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-13893632000000 = -1 · 224 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7075,-293875] |
[a1,a2,a3,a4,a6] |
j |
-2507141976625/889192448 |
j-invariant |
L |
1.0228658840542 |
L(r)(E,1)/r! |
Ω |
0.25571647101355 |
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 |
21200p1 84800b1 23850ck1 106c1 |
Quadratic twists by: -4 8 -3 5 |