Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296b |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1573269433344 = -1 · 210 · 312 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2883,8685] |
[a1,a2,a3,a4,a6] |
j |
2587063175168/1536395931 |
j-invariant |
L |
1.0317360038815 |
L(r)(E,1)/r! |
Ω |
0.51586802685781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296cg1 9912g1 |
Quadratic twists by: -4 8 |