Atkin-Lehner |
2+ 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650l |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-627112753492500 = -1 · 22 · 33 · 54 · 11 · 615 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3299875,-2308624175] |
[a1,a2,a3,a4,a6] |
j |
-6358231956282757902025/1003380405588 |
j-invariant |
L |
0.56007358916951 |
L(r)(E,1)/r! |
Ω |
0.056007368195782 |
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 |
100650cl2 |
Quadratic twists by: 5 |