Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954by |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
112631028685310016 = 26 · 38 · 79 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1093877,-440512549] |
[a1,a2,a3,a4,a6] |
Generators |
[-211281:178774:343] |
Generators of the group modulo torsion |
j |
3587127798112039/2791101888 |
j-invariant |
L |
11.500846673585 |
L(r)(E,1)/r! |
Ω |
0.14763105218809 |
Real period |
R |
6.4918854944994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954cl1 |
Quadratic twists by: -7 |