Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cg |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-11575379574000 = -1 · 24 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12866,-580809] |
[a1,a2,a3,a4,a6] |
Generators |
[224963615:4244521993:571787] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
3.3450094677793 |
L(r)(E,1)/r! |
Ω |
0.22349273856582 |
Real period |
R |
14.966971585943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7260m1 116160jh1 87120gc1 29040cf1 |
Quadratic twists by: -4 8 -3 -11 |