Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820t |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3179594895468750000 = -1 · 24 · 312 · 510 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138252,-88043479] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:-36875:1] |
Generators of the group modulo torsion |
j |
-25054772818100224/272599013671875 |
j-invariant |
L |
6.0475078789841 |
L(r)(E,1)/r! |
Ω |
0.10721346488545 |
Real period |
R |
0.94010391958459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999941663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940g1 |
Quadratic twists by: -3 |