Atkin-Lehner |
2- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bg |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
684444501125000 = 23 · 56 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125563,17068617] |
[a1,a2,a3,a4,a6] |
Generators |
[188:247:1] |
Generators of the group modulo torsion |
j |
14011639427134441/43804448072 |
j-invariant |
L |
6.3012643048126 |
L(r)(E,1)/r! |
Ω |
0.5116544056229 |
Real period |
R |
0.5131445718595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999411092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774b2 |
Quadratic twists by: 5 |