Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bt |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-17133565645886508 = -1 · 22 · 37 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79584723,-273303613731] |
[a1,a2,a3,a4,a6] |
j |
-28462553570712625/8748 |
j-invariant |
L |
2.4767844220369 |
L(r)(E,1)/r! |
Ω |
0.025273310425326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686cv2 49686a2 |
Quadratic twists by: -7 13 |