Atkin-Lehner |
2+ 3+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118776b |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1024128 |
Modular degree for the optimal curve |
Δ |
-3251777218615296 = -1 · 211 · 33 · 78 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865160,310037484] |
[a1,a2,a3,a4,a6] |
j |
-6065955745682/275427 |
j-invariant |
L |
2.5274315171491 |
L(r)(E,1)/r! |
Ω |
0.42123853462863 |
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 |
118776h1 |
Quadratic twists by: -7 |