Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bo |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
19950149103515625 = 3 · 59 · 237 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73013,-3394608] |
[a1,a2,a3,a4,a6] |
j |
148877/69 |
j-invariant |
L |
0.60730995657916 |
L(r)(E,1)/r! |
Ω |
0.30365497831964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119025cc1 39675s1 1725r1 |
Quadratic twists by: -3 5 -23 |