Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bg |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
38016000 |
Modular degree for the optimal curve |
Δ |
1.360338837693E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-152039108,-453638373694] |
[a1,a2,a3,a4,a6] |
Generators |
[-3360:140542:1] |
Generators of the group modulo torsion |
j |
2625564132023811051529/918925030195200000 |
j-invariant |
L |
7.1168222844943 |
L(r)(E,1)/r! |
Ω |
0.044229323315574 |
Real period |
R |
1.6090732970224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830h1 |
Quadratic twists by: -23 |