Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-2251875390625000000 = -1 · 26 · 514 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175175,77518000] |
[a1,a2,a3,a4,a6] |
Generators |
[24697980790:531749109375:66923416] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
6.2185780314634 |
L(r)(E,1)/r! |
Ω |
0.22678135310351 |
Real period |
R |
13.710514433249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400gq1 39200e2 15680di1 11200bt1 |
Quadratic twists by: -4 8 5 -7 |