Atkin-Lehner |
5- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117425h |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-880988206049875 = -1 · 53 · 72 · 119 · 61 |
Discriminant |
Eigenvalues |
0 0 5- 7+ 11+ -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-166970,-26299469] |
[a1,a2,a3,a4,a6] |
j |
-4118404887464214528/7047905648399 |
j-invariant |
L |
0.4723088549306 |
L(r)(E,1)/r! |
Ω |
0.11807702501995 |
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 |
117425j1 |
Quadratic twists by: 5 |