Atkin-Lehner |
2- 3+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39390o |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
64829796319641600 = 214 · 32 · 52 · 132 · 1014 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2176245,-1236536805] |
[a1,a2,a3,a4,a6] |
j |
1139848372727623365328081/64829796319641600 |
j-invariant |
L |
1.7402118627685 |
L(r)(E,1)/r! |
Ω |
0.1243008473377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118170i2 |
Quadratic twists by: -3 |