Atkin-Lehner |
3- 7- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471v |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-16847498367 = -1 · 36 · 7 · 232 · 792 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5450,156336] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:437:1] |
Generators of the group modulo torsion |
j |
-24553362849625/23110423 |
j-invariant |
L |
4.9798360264671 |
L(r)(E,1)/r! |
Ω |
1.2271307455656 |
Real period |
R |
2.0290568071581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12719b1 |
Quadratic twists by: -3 |