Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29008i |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
1114371328 = 28 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,25901] |
[a1,a2,a3,a4,a6] |
Generators |
[20:29:1] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
4.2261052099892 |
L(r)(E,1)/r! |
Ω |
1.5510794144291 |
Real period |
R |
2.7246220732965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14504i1 116032z1 592b1 |
Quadratic twists by: -4 8 -7 |