Atkin-Lehner |
2- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400q |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83456 |
Modular degree for the optimal curve |
Δ |
-1129184000 = -1 · 28 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -3 -7 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,260,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] [24:142:1] |
Generators of the group modulo torsion |
j |
60742656/35287 |
j-invariant |
L |
6.1959679782063 |
L(r)(E,1)/r! |
Ω |
0.93074378777954 |
Real period |
R |
0.83212588410837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99400k1 |
Quadratic twists by: 5 |