Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4760c |
Isogeny class |
Conductor |
4760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-47600000000 = -1 · 210 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1627,-27354] |
[a1,a2,a3,a4,a6] |
j |
-465142919364/46484375 |
j-invariant |
L |
1.4949587610603 |
L(r)(E,1)/r! |
Ω |
0.37373969026507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9520d1 38080b1 42840bs1 23800g1 |
Quadratic twists by: -4 8 -3 5 |