Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680l |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
45221120 = 28 · 5 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248,1468] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
6589292544/176645 |
j-invariant |
L |
3.5010844877241 |
L(r)(E,1)/r! |
Ω |
2.0150061508864 |
Real period |
R |
0.28958426802344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420b1 |
Quadratic twists by: -4 |