Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520m |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
46067326675200 = 28 · 32 · 52 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10420,250432] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:760:1] |
Generators of the group modulo torsion |
j |
488797056521296/179950494825 |
j-invariant |
L |
6.2892557493256 |
L(r)(E,1)/r! |
Ω |
0.58369634229912 |
Real period |
R |
0.89790633885522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760ba1 |
Quadratic twists by: -4 |