Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850j |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-231425781250 = -1 · 2 · 510 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 2 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2201,45798] |
[a1,a2,a3,a4,a6] |
j |
-120670225/23698 |
j-invariant |
L |
1.902664082581 |
L(r)(E,1)/r! |
Ω |
0.95133204129996 |
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 |
34850y1 |
Quadratic twists by: 5 |