Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398be |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
8355207168 = 211 · 32 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120162,-16042428] |
[a1,a2,a3,a4,a6] |
j |
191878088180243526433/8355207168 |
j-invariant |
L |
5.6413160418041 |
L(r)(E,1)/r! |
Ω |
0.25642345644564 |
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 |
107184by2 40194l2 93786ca2 |
Quadratic twists by: -4 -3 -7 |