Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
275508734054400 = 212 · 33 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2390572816,-44989251846316] |
[a1,a2,a3,a4,a6] |
Generators |
[70996:11964330:1] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
9.188557290086 |
L(r)(E,1)/r! |
Ω |
0.021591064783049 |
Real period |
R |
8.8660879451204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998788837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085g5 18480cd5 |
Quadratic twists by: -4 -7 |