Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cu |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-1968050245035780864 = -1 · 28 · 33 · 74 · 179 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-866229,-317855601] |
[a1,a2,a3,a4,a6] |
j |
-11632923639808/318495051 |
j-invariant |
L |
3.7497401372893 |
L(r)(E,1)/r! |
Ω |
0.078119591291929 |
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 |
24276c1 5712n1 |
Quadratic twists by: -4 17 |