Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970w |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
383262417843200 = 210 · 52 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 5 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24060,-1094563] |
[a1,a2,a3,a4,a6] |
j |
5452947409/1356800 |
j-invariant |
L |
7.8064138024215 |
L(r)(E,1)/r! |
Ω |
0.39032069012108 |
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 |
129850m1 25970u1 |
Quadratic twists by: 5 -7 |