Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99636c |
Isogeny class |
Conductor |
99636 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-88246679372722944 = -1 · 28 · 36 · 197 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -3 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107819,-4275577] |
[a1,a2,a3,a4,a6] |
Generators |
[98:2691:1] [386:9747:1] |
Generators of the group modulo torsion |
j |
11509170176/7327179 |
j-invariant |
L |
10.655623728558 |
L(r)(E,1)/r! |
Ω |
0.19502913242611 |
Real period |
R |
1.138251287223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5244b1 |
Quadratic twists by: -19 |