Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976i |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
157161568256 = 211 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14792,-687280] |
[a1,a2,a3,a4,a6] |
Generators |
[7946:248325:8] |
Generators of the group modulo torsion |
j |
174784861221266/76739047 |
j-invariant |
L |
10.333957742225 |
L(r)(E,1)/r! |
Ω |
0.43291419594889 |
Real period |
R |
3.9784472454028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26488c2 |
Quadratic twists by: -4 |