Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2650h |
Isogeny class |
Conductor |
2650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-232620312500 = -1 · 22 · 58 · 533 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338,-23469] |
[a1,a2,a3,a4,a6] |
j |
-273359449/14887700 |
j-invariant |
L |
1.7414187899884 |
L(r)(E,1)/r! |
Ω |
0.43535469749711 |
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 |
21200e1 84800p1 23850be1 530a1 |
Quadratic twists by: -4 8 -3 5 |