Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448a |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-11184026793984 = -1 · 211 · 34 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11+ -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5064,79884] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:18:1] [125:1628:1] |
Generators of the group modulo torsion |
j |
5267578682/4102893 |
j-invariant |
L |
9.8638757893156 |
L(r)(E,1)/r! |
Ω |
0.46115511019127 |
Real period |
R |
1.7824580732364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107448l1 |
Quadratic twists by: -11 |