Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
10000967046174720 = 211 · 34 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90960,9368820] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:2940:1] |
Generators of the group modulo torsion |
j |
345431270018/41507235 |
j-invariant |
L |
10.898758626998 |
L(r)(E,1)/r! |
Ω |
0.39376426682627 |
Real period |
R |
1.7298989899353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680bx3 18480d3 |
Quadratic twists by: -4 -7 |