Atkin-Lehner |
2- 3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468m |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
4076082689475365712 = 24 · 314 · 114 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449085,62957124] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:8349:1] [5322:61479:8] |
Generators of the group modulo torsion |
j |
626023079413696823296/254755168092210357 |
j-invariant |
L |
8.3019976434484 |
L(r)(E,1)/r! |
Ω |
0.22400272242348 |
Real period |
R |
0.22060737523608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404h1 |
Quadratic twists by: -3 |