Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550n |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-1008200 = -1 · 23 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 1 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58,172] |
[a1,a2,a3,a4,a6] |
Generators |
[18:62:1] |
Generators of the group modulo torsion |
j |
-864043465/40328 |
j-invariant |
L |
5.3504299863304 |
L(r)(E,1)/r! |
Ω |
2.7472957442086 |
Real period |
R |
0.32458767241746 |
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 |
28400k1 113600bc1 31950t1 3550i1 |
Quadratic twists by: -4 8 -3 5 |