Atkin-Lehner |
2- 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650cn |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-10011354624000 = -1 · 212 · 33 · 53 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1397,151481] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:310:1] [-5:382:1] |
Generators of the group modulo torsion |
j |
2412034345531/80090836992 |
j-invariant |
L |
14.032694150834 |
L(r)(E,1)/r! |
Ω |
0.54679735991555 |
Real period |
R |
1.0693094596875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650bn1 |
Quadratic twists by: 5 |