Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400gc |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-12293120000000 = -1 · 216 · 57 · 74 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,171137] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-400:1] [-43:400:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
9.2629502401585 |
L(r)(E,1)/r! |
Ω |
0.59671584227324 |
Real period |
R |
0.97020113929696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400b1 19600a1 15680cy1 78400hg1 |
Quadratic twists by: -4 8 5 -7 |