Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dq |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
-8.3168041955989E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1884163,966087749] |
[a1,a2,a3,a4,a6] |
Generators |
[8367:-780344:1] |
Generators of the group modulo torsion |
j |
176022219667511/197899468800 |
j-invariant |
L |
9.9996945273089 |
L(r)(E,1)/r! |
Ω |
0.10551445920079 |
Real period |
R |
0.056411217651752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170s1 48510de1 |
Quadratic twists by: -3 -7 |