Atkin-Lehner |
2- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150r |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42000 |
Modular degree for the optimal curve |
Δ |
-2192187500 = -1 · 22 · 58 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- -3 1 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-763,-8483] |
[a1,a2,a3,a4,a6] |
j |
-125768785/5612 |
j-invariant |
L |
2.718037773858 |
L(r)(E,1)/r! |
Ω |
0.45300629822619 |
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 |
70150d1 |
Quadratic twists by: 5 |