Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550c |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
64735200 = 25 · 37 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-260,-1680] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
78218787505/2589408 |
j-invariant |
L |
2.576063859284 |
L(r)(E,1)/r! |
Ω |
1.1907490373556 |
Real period |
R |
2.1633978096719 |
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 |
44400cl1 16650by1 5550bp1 |
Quadratic twists by: -4 -3 5 |