Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080k |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1548595200 = 212 · 3 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,897] |
[a1,a2,a3,a4,a6] |
Generators |
[19:40:1] |
Generators of the group modulo torsion |
j |
768575296/378075 |
j-invariant |
L |
4.5242809948591 |
L(r)(E,1)/r! |
Ω |
1.3365648269689 |
Real period |
R |
1.6925033876281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080bg2 68160bd1 102240z2 |
Quadratic twists by: -4 8 -3 |