Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10400y |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1331200 = 212 · 52 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
69120/13 |
j-invariant |
L |
2.429172677644 |
L(r)(E,1)/r! |
Ω |
1.9231024168337 |
Real period |
R |
0.63157652353314 |
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 |
10400m1 20800q1 93600bu1 10400s1 |
Quadratic twists by: -4 8 -3 5 |