Atkin-Lehner |
2+ 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008c |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-938975160816 = -1 · 24 · 35 · 73 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2060,28963] |
[a1,a2,a3,a4,a6] |
j |
60394105174784/58685947551 |
j-invariant |
L |
1.1603171622908 |
L(r)(E,1)/r! |
Ω |
0.58015857495054 |
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 |
42504z1 |
Quadratic twists by: -4 |