Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244i |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-53960814410276592 = -1 · 24 · 38 · 78 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84795,-5880859] |
[a1,a2,a3,a4,a6] |
Generators |
[1597:64827:1] |
Generators of the group modulo torsion |
j |
5780786562464000/4626270096903 |
j-invariant |
L |
4.7489399584235 |
L(r)(E,1)/r! |
Ω |
0.19667050625393 |
Real period |
R |
2.0122234088636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748a1 |
Quadratic twists by: -3 |