Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bu |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
187356032500000000 = 28 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6383333,-6205375463] |
[a1,a2,a3,a4,a6] |
Generators |
[-1459:182:1] |
Generators of the group modulo torsion |
j |
11506050457600000/74942413 |
j-invariant |
L |
4.0455957143872 |
L(r)(E,1)/r! |
Ω |
0.094981241840529 |
Real period |
R |
2.6621017713558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100a1 36400ck1 |
Quadratic twists by: -4 5 |