Atkin-Lehner |
2+ 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350u |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18012302000 = 24 · 53 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13171,580638] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1112:1] [-58:1101:1] |
Generators of the group modulo torsion |
j |
2021261705735453/144098416 |
j-invariant |
L |
5.5420258658087 |
L(r)(E,1)/r! |
Ω |
1.1672305612275 |
Real period |
R |
1.187003246781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350cc2 |
Quadratic twists by: 5 |