Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bh |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-13298043912192 = -1 · 216 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2445,-169166] |
[a1,a2,a3,a4,a6] |
Generators |
[3474:72787:8] |
Generators of the group modulo torsion |
j |
541343375/4453488 |
j-invariant |
L |
8.7824714639651 |
L(r)(E,1)/r! |
Ω |
0.35103968606606 |
Real period |
R |
6.2546143740321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274d1 38064z1 |
Quadratic twists by: -4 -3 |