Atkin-Lehner |
2+ 3+ 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918a |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
-1454473552896 = -1 · 210 · 39 · 7 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4956,147536] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:544:1] [-8:436:1] |
Generators of the group modulo torsion |
j |
-684030715731/73894912 |
j-invariant |
L |
6.7432287959542 |
L(r)(E,1)/r! |
Ω |
0.82885774175023 |
Real period |
R |
1.016946041451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99918q1 |
Quadratic twists by: -3 |