Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048o |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26368 |
Modular degree for the optimal curve |
Δ |
-85673536 = -1 · 26 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ -2 -2 4 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384,2806] |
[a1,a2,a3,a4,a6] |
Generators |
[29:130:1] |
Generators of the group modulo torsion |
j |
-98099748928/1338649 |
j-invariant |
L |
3.9567936491629 |
L(r)(E,1)/r! |
Ω |
1.9225551979707 |
Real period |
R |
2.0580910517113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74048n1 37024b2 |
Quadratic twists by: -4 8 |