Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200i |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-19228271436800 = -1 · 210 · 52 · 175 · 232 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 0 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8035,-348370] |
[a1,a2,a3,a4,a6] |
j |
-2240997593220/751104353 |
j-invariant |
L |
4.9583850425159 |
L(r)(E,1)/r! |
Ω |
0.24791925366159 |
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 |
78200y1 |
Quadratic twists by: 5 |