Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550i |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-15753125000 = -1 · 23 · 58 · 712 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 1 -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1450,21500] |
[a1,a2,a3,a4,a6] |
Generators |
[19:26:1] |
Generators of the group modulo torsion |
j |
-864043465/40328 |
j-invariant |
L |
2.4077135664213 |
L(r)(E,1)/r! |
Ω |
1.2286280076693 |
Real period |
R |
0.97983830394231 |
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 |
28400y1 113600br1 31950cr1 3550n1 |
Quadratic twists by: -4 8 -3 5 |