Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398d |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4567475629398528 = 29 · 32 · 710 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67634,-5966412] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:267:1] |
Generators of the group modulo torsion |
j |
34215978533303005993/4567475629398528 |
j-invariant |
L |
3.6950259564138 |
L(r)(E,1)/r! |
Ω |
0.29865782086906 |
Real period |
R |
1.2372105125731 |
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 |
107184cl2 40194bz2 93786bj2 |
Quadratic twists by: -4 -3 -7 |