Atkin-Lehner |
2+ 5- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23690d |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-681087500 = -1 · 22 · 55 · 232 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 0 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-552,4924] |
[a1,a2,a3,a4,a6] |
Generators |
[3:56:1] [-20:102:1] |
Generators of the group modulo torsion |
j |
-18653901818761/681087500 |
j-invariant |
L |
4.9569111998676 |
L(r)(E,1)/r! |
Ω |
1.6021019385838 |
Real period |
R |
0.15470024348917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118450h1 |
Quadratic twists by: 5 |