Atkin-Lehner |
3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63291n |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
105264 |
Modular degree for the optimal curve |
Δ |
-4583072638737 = -1 · 32 · 178 · 73 |
Discriminant |
Eigenvalues |
-1 3- 2 1 5 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3173,76922] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5479:1] |
Generators of the group modulo torsion |
j |
506447/657 |
j-invariant |
L |
6.4687048204511 |
L(r)(E,1)/r! |
Ω |
0.52023948837152 |
Real period |
R |
2.0723483975657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63291f1 |
Quadratic twists by: 17 |