Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148z |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4967424 |
Modular degree for the optimal curve |
Δ |
8.038415147066E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26783269,-53324745263] |
[a1,a2,a3,a4,a6] |
j |
7929856/3 |
j-invariant |
L |
2.123701615464 |
L(r)(E,1)/r! |
Ω |
0.06636567530888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cs1 71148y1 |
Quadratic twists by: -7 -11 |