Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896j |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
3670335619344 = 24 · 316 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -3 -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15500,-731871] |
[a1,a2,a3,a4,a6] |
j |
4830378052864/43046721 |
j-invariant |
L |
1.7124122759442 |
L(r)(E,1)/r! |
Ω |
0.42810256869769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896l1 |
Quadratic twists by: 73 |