Atkin-Lehner |
2+ 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118x |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-1678918971836187648 = -1 · 210 · 39 · 7 · 177 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83718,63055156] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-7438:1] |
Generators of the group modulo torsion |
j |
-89013450376805473/2303043857114112 |
j-invariant |
L |
4.4975339367227 |
L(r)(E,1)/r! |
Ω |
0.22269822608961 |
Real period |
R |
0.36063648740482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706u1 |
Quadratic twists by: -3 |