Atkin-Lehner |
2+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870d |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
26644277440 = 26 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4359,-110838] |
[a1,a2,a3,a4,a6] |
j |
5168743489/15040 |
j-invariant |
L |
1.1753595255961 |
L(r)(E,1)/r! |
Ω |
0.58767976282025 |
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 |
470d1 |
Quadratic twists by: -11 |