Atkin-Lehner |
5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5075b |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-91984375 = -1 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238,1467] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
-95443993/5887 |
j-invariant |
L |
1.324477864019 |
L(r)(E,1)/r! |
Ω |
1.8770506271718 |
Real period |
R |
0.70561648409806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200bn1 45675p1 203c1 35525g1 |
Quadratic twists by: -4 -3 5 -7 |