Atkin-Lehner |
2+ 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49416b |
Isogeny class |
Conductor |
49416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2694555648 = 211 · 32 · 29 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11112,454572] |
[a1,a2,a3,a4,a6] |
Generators |
[538:665:8] |
Generators of the group modulo torsion |
j |
74098521207506/1315701 |
j-invariant |
L |
5.9208738488644 |
L(r)(E,1)/r! |
Ω |
1.3207555907142 |
Real period |
R |
4.4829443770592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98832d2 |
Quadratic twists by: -4 |