Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98252d |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2608296102992272 = 24 · 73 · 117 · 293 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144998,21060785] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:17545:8] [-58:5411:1] |
Generators of the group modulo torsion |
j |
11894238688000/92019697 |
j-invariant |
L |
12.705479848531 |
L(r)(E,1)/r! |
Ω |
0.45827727940135 |
Real period |
R |
0.7701232674461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932e2 |
Quadratic twists by: -11 |