Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
51744000 = 28 · 3 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121,421] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] |
Generators of the group modulo torsion |
j |
15748096/4125 |
j-invariant |
L |
5.4340203732443 |
L(r)(E,1)/r! |
Ω |
1.8690870893222 |
Real period |
R |
2.9073125496975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680cs1 129360cj1 |
Quadratic twists by: -4 -7 |