Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975bp |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-9395303328770625 = -1 · 36 · 54 · 710 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36267,-5358934] |
[a1,a2,a3,a4,a6] |
j |
-11578646613825/20620693177 |
j-invariant |
L |
3.2646012000845 |
L(r)(E,1)/r! |
Ω |
0.16323007908753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12775n1 114975v1 |
Quadratic twists by: -3 5 |