Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600u |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-4312000 = -1 · 26 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] [4:12:1] |
Generators of the group modulo torsion |
j |
-1728/539 |
j-invariant |
L |
9.6843941086152 |
L(r)(E,1)/r! |
Ω |
1.9992423953503 |
Real period |
R |
2.4220159924436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600cb1 123200cw1 61600by1 |
Quadratic twists by: -4 8 5 |