Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440j |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-39907760 = -1 · 24 · 5 · 233 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 0 5 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25,-292] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
103737344/2494235 |
j-invariant |
L |
7.6805177474859 |
L(r)(E,1)/r! |
Ω |
0.98941809141985 |
Real period |
R |
2.5875538404894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37720e1 |
Quadratic twists by: -4 |