Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720t |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-40269824000 = -1 · 214 · 53 · 7 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,699,6301] |
[a1,a2,a3,a4,a6] |
j |
2302045184/2457875 |
j-invariant |
L |
1.5209078190684 |
L(r)(E,1)/r! |
Ω |
0.76045407253933 |
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 |
118720d1 29680f1 |
Quadratic twists by: -4 8 |