Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600v |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
847000000000 = 29 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8875,-318750] |
[a1,a2,a3,a4,a6] |
Generators |
[808490:22824993:1000] |
Generators of the group modulo torsion |
j |
77308776/847 |
j-invariant |
L |
5.5940634728208 |
L(r)(E,1)/r! |
Ω |
0.49220379126749 |
Real period |
R |
11.365340072705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600by2 123200ck2 61600cb2 |
Quadratic twists by: -4 8 5 |