Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ep |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
717336000 = 26 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184503,-30503752] |
[a1,a2,a3,a4,a6] |
Generators |
[5002852:102416886:6859] |
Generators of the group modulo torsion |
j |
14887662203808064/15375 |
j-invariant |
L |
5.3788669071498 |
L(r)(E,1)/r! |
Ω |
0.2303555587077 |
Real period |
R |
11.675140161579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000277585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080eo1 59040bv4 39360cf1 |
Quadratic twists by: -4 8 -3 |