Atkin-Lehner |
2- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105616o |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167424 |
Modular degree for the optimal curve |
Δ |
657935294464 = 213 · 7 · 234 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 2 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9392,345044] |
[a1,a2,a3,a4,a6] |
Generators |
[394:529:8] |
Generators of the group modulo torsion |
j |
22370941181233/160628734 |
j-invariant |
L |
6.9402092589114 |
L(r)(E,1)/r! |
Ω |
0.91416029926261 |
Real period |
R |
1.8979738202827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202m1 |
Quadratic twists by: -4 |