Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
107144009280000000 = 212 · 33 · 57 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124088,5868281] |
[a1,a2,a3,a4,a6] |
j |
7633736209/3870720 |
j-invariant |
L |
3.5467832369062 |
L(r)(E,1)/r! |
Ω |
0.29556523017743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410v1 1050a1 |
Quadratic twists by: 5 -11 |