Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310dc |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
25660800 |
Modular degree for the optimal curve |
Δ |
-5.065630875648E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19928789,-169422415] |
[a1,a2,a3,a4,a6] |
Generators |
[6206:599009:1] |
Generators of the group modulo torsion |
j |
7440090147724218899039/4305715200000000000 |
j-invariant |
L |
11.622032938971 |
L(r)(E,1)/r! |
Ω |
0.055462562082498 |
Real period |
R |
1.940253241389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190k1 |
Quadratic twists by: -7 |