Atkin-Lehner |
5+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
120575c |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-165564546875 = -1 · 56 · 7 · 134 · 53 |
Discriminant |
Eigenvalues |
-2 0 5+ 7+ -1 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,575,-18844] |
[a1,a2,a3,a4,a6] |
j |
1345572864/10596131 |
j-invariant |
L |
1.0130354635417 |
L(r)(E,1)/r! |
Ω |
0.50651803524589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4823b1 |
Quadratic twists by: 5 |