Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400bv |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4316629522500000000 = 28 · 314 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-634575,-166927250] |
[a1,a2,a3,a4,a6] |
Generators |
[4539357:29278544:4913] |
Generators of the group modulo torsion |
j |
9691367618896/1480325625 |
j-invariant |
L |
7.3296600900774 |
L(r)(E,1)/r! |
Ω |
0.17088807460459 |
Real period |
R |
10.722895830112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995963 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34200ci2 22800bc2 13680m2 |
Quadratic twists by: -4 -3 5 |