Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200t |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
665600 |
Modular degree for the optimal curve |
Δ |
5225836500000000 = 28 · 311 · 59 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 1 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43500,312500] |
[a1,a2,a3,a4,a6] |
Generators |
[250:2250:1] |
Generators of the group modulo torsion |
j |
24974336/14337 |
j-invariant |
L |
8.4151767284124 |
L(r)(E,1)/r! |
Ω |
0.36762124509281 |
Real period |
R |
1.4306804906277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400m1 106200bn1 |
Quadratic twists by: -3 5 |