Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416h |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
-265706359552 = -1 · 28 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 2 -1 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1156,19652] |
[a1,a2,a3,a4,a6] |
Generators |
[376:7322:1] |
Generators of the group modulo torsion |
j |
27648/43 |
j-invariant |
L |
7.061660469822 |
L(r)(E,1)/r! |
Ω |
0.6676003990722 |
Real period |
R |
5.2888378135118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
344a1 |
Quadratic twists by: 17 |