Atkin-Lehner |
3- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bp |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-266494921875 = -1 · 32 · 58 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -3 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1542,9119] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:13721:8] |
Generators of the group modulo torsion |
j |
1037373440/682227 |
j-invariant |
L |
15.934432952118 |
L(r)(E,1)/r! |
Ω |
0.61406692381554 |
Real period |
R |
4.3248361448496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025k1 |
Quadratic twists by: 5 |