Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410v |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-15687449019450 = -1 · 2 · 33 · 52 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12645,578475] |
[a1,a2,a3,a4,a6] |
j |
-223605437236681681/15687449019450 |
j-invariant |
L |
4.1169801248818 |
L(r)(E,1)/r! |
Ω |
0.68616335414697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280bk1 22230j1 37050j1 96330bb1 |
Quadratic twists by: -4 -3 5 13 |