Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25280f |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-323584000000 = -1 · 218 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2561,-57761] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7852:1] |
Generators of the group modulo torsion |
j |
-7088952961/1234375 |
j-invariant |
L |
3.5660419656632 |
L(r)(E,1)/r! |
Ω |
0.33238879378396 |
Real period |
R |
5.3642632248019 |
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 |
25280t1 395b1 126400l1 |
Quadratic twists by: -4 8 5 |