Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102l |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
65507042525184 = 226 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 6 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55674,5055156] |
[a1,a2,a3,a4,a6] |
Generators |
[5780:197814:125] |
Generators of the group modulo torsion |
j |
26179288974173089/89858768896 |
j-invariant |
L |
4.7640768645749 |
L(r)(E,1)/r! |
Ω |
0.62239409833155 |
Real period |
R |
3.8272188612858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678m1 |
Quadratic twists by: -3 |