Atkin-Lehner |
2- 3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950be |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
4325376 |
Modular degree for the optimal curve |
Δ |
2.8018923798528E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2720688,1526923281] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:50597:1] |
Generators of the group modulo torsion |
j |
142541038766590434361/17932111231057920 |
j-invariant |
L |
7.9353602609852 |
L(r)(E,1)/r! |
Ω |
0.16748368275751 |
Real period |
R |
1.4806218937329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025083 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23790i1 |
Quadratic twists by: 5 |