Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886m |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-61607805336 = -1 · 23 · 33 · 7 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,360,-11618] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-198:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
2.4805845545413 |
L(r)(E,1)/r! |
Ω |
0.54440821609686 |
Real period |
R |
0.75941314625456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966k1 |
Quadratic twists by: -11 |