Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440m |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21183355289600 = 217 · 52 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31148,-2104272] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:80:1] [216:1116:1] |
Generators of the group modulo torsion |
j |
25497892389762/161616175 |
j-invariant |
L |
9.7872567100053 |
L(r)(E,1)/r! |
Ω |
0.35950740822406 |
Real period |
R |
6.8060187955178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440cj3 8680o3 |
Quadratic twists by: -4 8 |