Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760cc |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-73543680 = -1 · 212 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,432] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-110592/665 |
j-invariant |
L |
7.0219646751926 |
L(r)(E,1)/r! |
Ω |
1.6754366214878 |
Real period |
R |
2.0955626066504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5985a1 95760cu1 |
Quadratic twists by: -4 -3 |