Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176h |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1806107021348971264 = -1 · 28 · 77 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3830689,-2885229339] |
[a1,a2,a3,a4,a6] |
Generators |
[304845:5957322:125] |
Generators of the group modulo torsion |
j |
-206407894550668288/59967407731 |
j-invariant |
L |
13.117945749307 |
L(r)(E,1)/r! |
Ω |
0.053956374059569 |
Real period |
R |
6.0780333947209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168f1 |
Quadratic twists by: -7 |