Atkin-Lehner |
2- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
99704d |
Isogeny class |
Conductor |
99704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-2978651416576 = -1 · 211 · 113 · 1033 |
Discriminant |
Eigenvalues |
2- -2 -2 -5 11+ 7 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2336,-69984] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4532:1] |
Generators of the group modulo torsion |
j |
516949706/1092727 |
j-invariant |
L |
3.5349424322339 |
L(r)(E,1)/r! |
Ω |
0.41699482461562 |
Real period |
R |
1.412864241603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999220252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99704b1 |
Quadratic twists by: -11 |