Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ci |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-5682459063600 = -1 · 24 · 36 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5001,179676] |
[a1,a2,a3,a4,a6] |
Generators |
[24:270:1] |
Generators of the group modulo torsion |
j |
-488095744/200475 |
j-invariant |
L |
3.7319447571213 |
L(r)(E,1)/r! |
Ω |
0.71251782816582 |
Real period |
R |
2.6188430728309 |
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 |
7260p1 116160jp1 87120gl1 2640p1 |
Quadratic twists by: -4 8 -3 -11 |