Atkin-Lehner |
2- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18088f |
Isogeny class |
Conductor |
18088 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
18705600 |
Modular degree for the optimal curve |
Δ |
-1.3998814283689E+22 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13675598683,615556094030726] |
[a1,a2,a3,a4,a6] |
j |
-276224883247284348942470254822596/13670717073915356861 |
j-invariant |
L |
3.6759772680173 |
L(r)(E,1)/r! |
Ω |
0.068073653111432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36176h1 126616r1 |
Quadratic twists by: -4 -7 |