Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056j |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-91256896512 = -1 · 210 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,861,10802] |
[a1,a2,a3,a4,a6] |
Generators |
[1:108:1] |
Generators of the group modulo torsion |
j |
94559612/122247 |
j-invariant |
L |
5.4453036615936 |
L(r)(E,1)/r! |
Ω |
0.72083822751755 |
Real period |
R |
0.94426588984303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57528k1 38352a1 |
Quadratic twists by: -4 -3 |