Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720z |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
478464 |
Modular degree for the optimal curve |
Δ |
-740266331840 = -1 · 26 · 5 · 77 · 532 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -1 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-384795,-91745783] |
[a1,a2,a3,a4,a6] |
j |
-98453946048618525184/11566661435 |
j-invariant |
L |
1.7251807036671 |
L(r)(E,1)/r! |
Ω |
0.09584337685743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720bc1 59360a1 |
Quadratic twists by: -4 8 |