Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cd |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-46607086596096 = -1 · 212 · 315 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8544,447536] |
[a1,a2,a3,a4,a6] |
Generators |
[97:729:1] |
Generators of the group modulo torsion |
j |
-23100424192/15608619 |
j-invariant |
L |
2.9918268749102 |
L(r)(E,1)/r! |
Ω |
0.58822572163988 |
Real period |
R |
1.2715471046141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7137f1 38064y1 |
Quadratic twists by: -4 -3 |