Atkin-Lehner |
2- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550x |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5104512 |
Modular degree for the optimal curve |
Δ |
-45431147724800 = -1 · 218 · 52 · 174 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167412093,833665857811] |
[a1,a2,a3,a4,a6] |
Generators |
[933755:-471564:125] |
Generators of the group modulo torsion |
j |
-20756024835514290213107681785/1817245908992 |
j-invariant |
L |
8.1529017111355 |
L(r)(E,1)/r! |
Ω |
0.24698628214767 |
Real period |
R |
0.91693145880805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550p1 |
Quadratic twists by: 5 |