Atkin-Lehner |
2- 3- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992p |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-1854005178261307392 = -1 · 225 · 35 · 373 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 5 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134408,-68246028] |
[a1,a2,a3,a4,a6] |
Generators |
[2668:136278:1] |
Generators of the group modulo torsion |
j |
-65560514292015625/452637982973952 |
j-invariant |
L |
8.5837169156432 |
L(r)(E,1)/r! |
Ω |
0.1107116798976 |
Real period |
R |
3.8766085549908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14874a1 |
Quadratic twists by: -4 |