Atkin-Lehner |
3+ 11- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29667b |
Isogeny class |
Conductor |
29667 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
7410134259 = 34 · 112 · 293 · 31 |
Discriminant |
Eigenvalues |
-1 3+ -3 2 11- 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1007,11162] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:115:1] [-6:133:1] |
Generators of the group modulo torsion |
j |
112937736208753/7410134259 |
j-invariant |
L |
4.2854145270652 |
L(r)(E,1)/r! |
Ω |
1.2976127981927 |
Real period |
R |
0.27521143268071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89001e1 |
Quadratic twists by: -3 |