Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920er |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
2.7438954373624E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41386827,64425512954] |
[a1,a2,a3,a4,a6] |
Generators |
[-697:304850:1] |
Generators of the group modulo torsion |
j |
2625564132023811051529/918925030195200000 |
j-invariant |
L |
7.8293181817172 |
L(r)(E,1)/r! |
Ω |
0.074122273445691 |
Real period |
R |
5.2813532302472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bv1 38640bq1 |
Quadratic twists by: -4 -3 |