Atkin-Lehner |
2- 3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860n |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-161880117246000 = -1 · 24 · 312 · 53 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10248,-463979] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2430:1] |
Generators of the group modulo torsion |
j |
10204542795776/13878610875 |
j-invariant |
L |
6.0115289433078 |
L(r)(E,1)/r! |
Ω |
0.30602301558962 |
Real period |
R |
3.274006981595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620j1 |
Quadratic twists by: -3 |