Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530l |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
8.7632961085362E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27187470,30806509396] |
[a1,a2,a3,a4,a6] |
Generators |
[-372:202346:1] |
Generators of the group modulo torsion |
j |
3048614971085997230980321/1202098231623617356800 |
j-invariant |
L |
4.163656212652 |
L(r)(E,1)/r! |
Ω |
0.080743928924197 |
Real period |
R |
2.5783091477293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510m1 |
Quadratic twists by: -3 |