Atkin-Lehner |
3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4305l |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-19065445875 = -1 · 312 · 53 · 7 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-425,-7594] |
[a1,a2,a3,a4,a6] |
j |
-8509655351296/19065445875 |
j-invariant |
L |
1.9670127843388 |
L(r)(E,1)/r! |
Ω |
0.49175319608469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68880bn1 12915l1 21525a1 30135i1 |
Quadratic twists by: -4 -3 5 -7 |