Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080f |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-18717736960000000 = -1 · 223 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 3 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56108,8336432] |
[a1,a2,a3,a4,a6] |
Generators |
[88:2020:1] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
3.4791076198365 |
L(r)(E,1)/r! |
Ω |
0.35278269561573 |
Real period |
R |
4.9309499348054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080by1 1690g1 54080be1 |
Quadratic twists by: -4 8 13 |