Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25280f |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
204505088000 = 218 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42561,-3393761] |
[a1,a2,a3,a4,a6] |
Generators |
[924209:16042844:2197] |
Generators of the group modulo torsion |
j |
32525910642961/780125 |
j-invariant |
L |
3.5660419656632 |
L(r)(E,1)/r! |
Ω |
0.33238879378396 |
Real period |
R |
10.728526449604 |
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 |
25280t2 395b2 126400l2 |
Quadratic twists by: -4 8 5 |