Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ej |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-2.2509315870523E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,152004145,-27214453353] |
[a1,a2,a3,a4,a6] |
Generators |
[185182:31801155:8] |
Generators of the group modulo torsion |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
10.939027004222 |
L(r)(E,1)/r! |
Ω |
0.033226740323897 |
Real period |
R |
4.1152949764976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350c1 15210u1 5850j1 |
Quadratic twists by: -3 5 13 |