Atkin-Lehner |
2- 3- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110952d |
Isogeny class |
Conductor |
110952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1150350336 = -1 · 210 · 36 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 2 6 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,2054] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:52:1] |
Generators of the group modulo torsion |
j |
-1556068/1541 |
j-invariant |
L |
6.1807837074381 |
L(r)(E,1)/r! |
Ω |
1.4059946450117 |
Real period |
R |
2.1980111157116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12328b1 |
Quadratic twists by: -3 |