Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4120b |
Isogeny class |
Conductor |
4120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-874181600000 = -1 · 28 · 55 · 1033 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 4 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2273,-16846] |
[a1,a2,a3,a4,a6] |
j |
5073200820144/3414771875 |
j-invariant |
L |
5.0432078441179 |
L(r)(E,1)/r! |
Ω |
0.50432078441179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8240f1 32960b1 37080m1 20600t1 |
Quadratic twists by: -4 8 -3 5 |