Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ce |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-17189438667390000 = -1 · 24 · 36 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26459,-6095384] |
[a1,a2,a3,a4,a6] |
Generators |
[1016424:7054300:6859] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
4.4606973153052 |
L(r)(E,1)/r! |
Ω |
0.19312613854751 |
Real period |
R |
5.7743314147607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7260n1 116160jd1 87120fy1 2640o1 |
Quadratic twists by: -4 8 -3 -11 |