Atkin-Lehner |
3- 11- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
69597i |
Isogeny class |
Conductor |
69597 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
858054436527123 = 315 · 112 · 192 · 372 |
Discriminant |
Eigenvalues |
-1 3- 4 2 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-341066948,2424503633564] |
[a1,a2,a3,a4,a6] |
Generators |
[3657192:-1852460:343] |
Generators of the group modulo torsion |
j |
6018871723429632981807834361/1177029405387 |
j-invariant |
L |
6.2074074754402 |
L(r)(E,1)/r! |
Ω |
0.20223973149432 |
Real period |
R |
3.8366641835135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23199e2 |
Quadratic twists by: -3 |