Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650bu |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3601920 |
Modular degree for the optimal curve |
Δ |
-44039250000000 = -1 · 27 · 32 · 59 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 6 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3286701,2293171048] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:-558:1] |
Generators of the group modulo torsion |
j |
-2010361108421918357/22548096 |
j-invariant |
L |
4.6880449703926 |
L(r)(E,1)/r! |
Ω |
0.44995177871757 |
Real period |
R |
1.3023742970651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999825575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650cl1 |
Quadratic twists by: 5 |