Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bo |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8090880 |
Modular degree for the optimal curve |
Δ |
3.104036130305E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 1 2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9500555,-7426492928] |
[a1,a2,a3,a4,a6] |
Generators |
[-67812:688205:27] |
Generators of the group modulo torsion |
j |
66605950671034293/21800637842471 |
j-invariant |
L |
5.1963064167702 |
L(r)(E,1)/r! |
Ω |
0.088238963249263 |
Real period |
R |
1.4021196032118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775h1 123975bm1 |
Quadratic twists by: -3 5 |