Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cw |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-2017528639261520 = -1 · 24 · 5 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14946,2271380] |
[a1,a2,a3,a4,a6] |
j |
-14641/80 |
j-invariant |
L |
1.6120817903956 |
L(r)(E,1)/r! |
Ω |
0.40302044765422 |
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 |
1210m1 59290l1 |
Quadratic twists by: -7 -11 |