Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ch |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-44064883224000000 = -1 · 29 · 39 · 56 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-630932,193317239] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:15901:1] |
Generators of the group modulo torsion |
j |
-136154455833049/216000000 |
j-invariant |
L |
9.433210302471 |
L(r)(E,1)/r! |
Ω |
0.36002548132697 |
Real period |
R |
0.36390982458647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15870l2 47610br2 |
Quadratic twists by: -3 -23 |