Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5772b |
Isogeny class |
Conductor |
5772 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
16814320848 = 24 · 310 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6013,181378] |
[a1,a2,a3,a4,a6] |
Generators |
[42:34:1] |
Generators of the group modulo torsion |
j |
1502967414784000/1050895053 |
j-invariant |
L |
3.6591207495601 |
L(r)(E,1)/r! |
Ω |
1.2229661193565 |
Real period |
R |
2.9920050045911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088s1 92352s1 17316c1 75036c1 |
Quadratic twists by: -4 8 -3 13 |