Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510by |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
60178870876162500 = 22 · 312 · 55 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2202804,-1257774372] |
[a1,a2,a3,a4,a6] |
Generators |
[-858:654:1] |
Generators of the group modulo torsion |
j |
13782741913468081/701662500 |
j-invariant |
L |
4.1233885487329 |
L(r)(E,1)/r! |
Ω |
0.12392442370091 |
Real period |
R |
1.6636706573143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170by1 6930j1 |
Quadratic twists by: -3 -7 |