Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14352n |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
222975808122414672 = 24 · 34 · 133 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152599,-3260020] |
[a1,a2,a3,a4,a6] |
Generators |
[404:1092:1] |
Generators of the group modulo torsion |
j |
24561881874548119552/13935988007650917 |
j-invariant |
L |
5.984002386832 |
L(r)(E,1)/r! |
Ω |
0.26076293299718 |
Real period |
R |
3.8246759985225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176c1 57408ca1 43056o1 |
Quadratic twists by: -4 8 -3 |