Atkin-Lehner |
2+ 3- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170o |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10752000 |
Modular degree for the optimal curve |
Δ |
2.1669086254665E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7761879,4374390685] |
[a1,a2,a3,a4,a6] |
Generators |
[-8402:857131:8] |
Generators of the group modulo torsion |
j |
70940920596853650630769/29724398154547200000 |
j-invariant |
L |
5.6423150459989 |
L(r)(E,1)/r! |
Ω |
0.10929292664864 |
Real period |
R |
2.5812809547931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39390k1 |
Quadratic twists by: -3 |