Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570q |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-36161310937500 = -1 · 22 · 34 · 58 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2202,286756] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:387:1] |
Generators of the group modulo torsion |
j |
1181569139409959/36161310937500 |
j-invariant |
L |
3.2392789147493 |
L(r)(E,1)/r! |
Ω |
0.49058580351967 |
Real period |
R |
0.082535992977918 |
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 |
28560cw1 114240bj1 10710be1 17850bd1 |
Quadratic twists by: -4 8 -3 5 |