Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2650a |
Isogeny class |
Conductor |
2650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1325000000 = -1 · 26 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -4 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,224,1198] |
[a1,a2,a3,a4,a6] |
Generators |
[17:91:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
2.8780521667549 |
L(r)(E,1)/r! |
Ω |
1.0100583855409 |
Real period |
R |
0.71234797115554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21200h1 84800r1 23850cp1 530d1 |
Quadratic twists by: -4 8 -3 5 |