Atkin-Lehner |
2+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58432f |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-6595183378432 = -1 · 220 · 11 · 833 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3553,-146847] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/25158628 |
j-invariant |
L |
1.1786810469288 |
L(r)(E,1)/r! |
Ω |
0.29467026180578 |
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 |
58432m1 1826a1 |
Quadratic twists by: -4 8 |