Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4326l |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-11302695936 = -1 · 210 · 37 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-272,5376] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:88:1] |
Generators of the group modulo torsion |
j |
-2226025896193/11302695936 |
j-invariant |
L |
5.3095633779433 |
L(r)(E,1)/r! |
Ω |
1.1060850726852 |
Real period |
R |
0.034288006986231 |
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 |
34608s1 12978d1 108150p1 30282bc1 |
Quadratic twists by: -4 -3 5 -7 |