Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
25280r |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-12943360000 = -1 · 218 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,-6448] |
[a1,a2,a3,a4,a6] |
Generators |
[2476:123200:1] |
Generators of the group modulo torsion |
j |
-33076161/49375 |
j-invariant |
L |
5.4984157621258 |
L(r)(E,1)/r! |
Ω |
0.4982927028306 |
Real period |
R |
5.5172549496425 |
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 |
25280b1 6320g1 126400bv1 |
Quadratic twists by: -4 8 5 |