Atkin-Lehner |
3+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025u |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-44891499244921875 = -1 · 32 · 58 · 7 · 135 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -5 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,37667,-9810432] |
[a1,a2,a3,a4,a6] |
Generators |
[166:994:1] [192:2112:1] |
Generators of the group modulo torsion |
j |
15129871646720/114922238067 |
j-invariant |
L |
8.1894601512128 |
L(r)(E,1)/r! |
Ω |
0.17875176599945 |
Real period |
R |
0.50905232269029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025be1 |
Quadratic twists by: 5 |