Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080t |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
12 |
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 |
[57:852:1] |
Generators of the group modulo torsion |
j |
2205121988096/10066246875 |
j-invariant |
L |
5.5175395412665 |
L(r)(E,1)/r! |
Ω |
0.46166895899446 |
Real period |
R |
0.99594082039572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34080b1 68160cv1 102240bj1 |
Quadratic twists by: -4 8 -3 |