Atkin-Lehner |
2+ 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646y |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
359683841088 = 26 · 36 · 112 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11682,-482220] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:483:8] |
Generators of the group modulo torsion |
j |
241862591022625/493393472 |
j-invariant |
L |
5.2936782455826 |
L(r)(E,1)/r! |
Ω |
0.45927387002312 |
Real period |
R |
1.9210317965699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294d1 |
Quadratic twists by: -3 |