Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840m |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-239405570305556480 = -1 · 220 · 5 · 78 · 892 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37997,23367762] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:3738:1] |
Generators of the group modulo torsion |
j |
1481193135701271/58448625562880 |
j-invariant |
L |
6.0197136281 |
L(r)(E,1)/r! |
Ω |
0.23671145637125 |
Real period |
R |
3.1788246122208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230a2 |
Quadratic twists by: -4 |