Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080b |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-41231347200000 = -1 · 212 · 32 · 55 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4339,-290139] |
[a1,a2,a3,a4,a6] |
Generators |
[68:561:1] |
Generators of the group modulo torsion |
j |
2205121988096/10066246875 |
j-invariant |
L |
5.5267748535004 |
L(r)(E,1)/r! |
Ω |
0.32504009073443 |
Real period |
R |
4.2508409047425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34080t1 68160dg1 102240bw1 |
Quadratic twists by: -4 8 -3 |