Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5152c |
Isogeny class |
Conductor |
5152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4616192 = 212 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-415] |
[a1,a2,a3,a4,a6] |
Generators |
[13:12:1] |
Generators of the group modulo torsion |
j |
39304000/1127 |
j-invariant |
L |
5.0414921687092 |
L(r)(E,1)/r! |
Ω |
1.4657883272985 |
Real period |
R |
1.7197203971465 |
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 |
5152e2 10304ba1 46368i2 128800j2 |
Quadratic twists by: -4 8 -3 5 |