Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930n |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
330371872405760 = 28 · 5 · 178 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-320362,69653844] |
[a1,a2,a3,a4,a6] |
Generators |
[4026225:31099207:9261] |
Generators of the group modulo torsion |
j |
150645197408329/13687040 |
j-invariant |
L |
9.0719943190917 |
L(r)(E,1)/r! |
Ω |
0.51784487144476 |
Real period |
R |
8.7593744736605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6290d1 |
Quadratic twists by: 17 |