Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51040f |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
32563520 = 26 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-797,8656] |
[a1,a2,a3,a4,a6] |
Generators |
[25:66:1] |
Generators of the group modulo torsion |
j |
874819998144/508805 |
j-invariant |
L |
5.4587778355151 |
L(r)(E,1)/r! |
Ω |
2.0532172521629 |
Real period |
R |
1.3293230002154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51040b1 102080bb2 |
Quadratic twists by: -4 8 |