Atkin-Lehner |
2- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274i |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
236767823781104 = 24 · 76 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-732234,240863591] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:20719:1] |
Generators of the group modulo torsion |
j |
24508532650053817/133649264 |
j-invariant |
L |
12.613658626613 |
L(r)(E,1)/r! |
Ω |
0.49423003621419 |
Real period |
R |
3.1902296396217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994c2 |
Quadratic twists by: -11 |