Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148bf |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
-5.6948538796998E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3108772,-2400902216] |
[a1,a2,a3,a4,a6] |
j |
-4253392/729 |
j-invariant |
L |
0.90114435493166 |
L(r)(E,1)/r! |
Ω |
0.056321521903324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452f1 71148bg1 |
Quadratic twists by: -7 -11 |