Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398c |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25587821952 = 27 · 32 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7420,-249008] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:29:1] |
Generators of the group modulo torsion |
j |
45188391038631625/25587821952 |
j-invariant |
L |
2.7551623467864 |
L(r)(E,1)/r! |
Ω |
0.51440563560656 |
Real period |
R |
1.3390028005514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cj2 40194by2 93786bg2 |
Quadratic twists by: -4 -3 -7 |