Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920k |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-51652616960 = -1 · 28 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,174803] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:343:1] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
4.3628017377335 |
L(r)(E,1)/r! |
Ω |
1.1263668394096 |
Real period |
R |
1.9366700017644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1960m1 15680cm1 35280bu1 19600r1 |
Quadratic twists by: -4 8 -3 5 |