Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114v |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-3201730260148224 = -1 · 213 · 37 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 3 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61349,-6476821] |
[a1,a2,a3,a4,a6] |
j |
-217049294532673/27214258176 |
j-invariant |
L |
3.91611987744 |
L(r)(E,1)/r! |
Ω |
0.15061999528616 |
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 |
72912cn1 27342s1 1302m1 |
Quadratic twists by: -4 -3 -7 |