Atkin-Lehner |
2- 3+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606m |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
259072 |
Modular degree for the optimal curve |
Δ |
1965776336584704 = 222 · 32 · 74 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34159,-1178059] |
[a1,a2,a3,a4,a6] |
Generators |
[347:5202:1] [-129:1114:1] |
Generators of the group modulo torsion |
j |
4407983413020449137/1965776336584704 |
j-invariant |
L |
10.034492449384 |
L(r)(E,1)/r! |
Ω |
0.36604555839259 |
Real period |
R |
0.31151401970064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818q1 |
Quadratic twists by: -3 |