Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bl |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-51652616960000000 = -1 · 214 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91467,2459437] |
[a1,a2,a3,a4,a6] |
j |
8192/5 |
j-invariant |
L |
1.7511367683746 |
L(r)(E,1)/r! |
Ω |
0.21889209598668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400he1 4900e1 15680h1 78400ba1 |
Quadratic twists by: -4 8 5 -7 |