Atkin-Lehner |
2+ 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568g |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-2856940848 = -1 · 24 · 33 · 17 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -2 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1043,12876] |
[a1,a2,a3,a4,a6] |
Generators |
[122:219:8] |
Generators of the group modulo torsion |
j |
-7850060032000/178558803 |
j-invariant |
L |
8.2076572577333 |
L(r)(E,1)/r! |
Ω |
1.4296498661583 |
Real period |
R |
0.63789179369802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784f1 |
Quadratic twists by: -4 |