Atkin-Lehner |
2+ 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550b |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-1587808000000 = -1 · 211 · 56 · 292 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4367,-125459] |
[a1,a2,a3,a4,a6] |
j |
-589534466625/101619712 |
j-invariant |
L |
1.1636170694835 |
L(r)(E,1)/r! |
Ω |
0.29090426152513 |
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 |
3422f1 |
Quadratic twists by: 5 |