Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080k |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-25560000 = -1 · 26 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70,72] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
584277056/399375 |
j-invariant |
L |
4.5242809948591 |
L(r)(E,1)/r! |
Ω |
1.3365648269689 |
Real period |
R |
0.84625169381405 |
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 |
34080bg1 68160bd2 102240z1 |
Quadratic twists by: -4 8 -3 |