Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680bk |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-318423040 = -1 · 214 · 5 · 132 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23621,1389475] |
[a1,a2,a3,a4,a6] |
Generators |
[86:39:1] |
Generators of the group modulo torsion |
j |
-88964552283136/19435 |
j-invariant |
L |
3.4378903878574 |
L(r)(E,1)/r! |
Ω |
1.3633734416592 |
Real period |
R |
1.2608029027215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680m1 23920e1 |
Quadratic twists by: -4 8 |