Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200df |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-241486790400000000 = -1 · 214 · 312 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-971408,-369592812] |
[a1,a2,a3,a4,a6] |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
3.6492058483757 |
L(r)(E,1)/r! |
Ω |
0.076025121629695 |
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 |
10650u1 17040n1 |
Quadratic twists by: -4 5 |