Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336o |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-3777910760633619456 = -1 · 210 · 311 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267699,-107644066] |
[a1,a2,a3,a4,a6] |
Generators |
[36911:7090724:1] |
Generators of the group modulo torsion |
j |
-2842081147249348/5060858679261 |
j-invariant |
L |
3.7575303745787 |
L(r)(E,1)/r! |
Ω |
0.099030518428585 |
Real period |
R |
9.4857889515731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112o1 |
Quadratic twists by: -3 |