Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bc |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-247585406976000000 = -1 · 221 · 33 · 56 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121656,458233456] |
[a1,a2,a3,a4,a6] |
Generators |
[146:17250:1] |
Generators of the group modulo torsion |
j |
-136154455833049/216000000 |
j-invariant |
L |
5.4587731763886 |
L(r)(E,1)/r! |
Ω |
0.31179121283888 |
Real period |
R |
1.4589820089806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998814875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870l2 126960bu2 |
Quadratic twists by: -4 -23 |