Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4120d |
Isogeny class |
Conductor |
4120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1040 |
Modular degree for the optimal curve |
Δ |
-5150000 = -1 · 24 · 55 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -4 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291,-1820] |
[a1,a2,a3,a4,a6] |
j |
-170912671744/321875 |
j-invariant |
L |
1.1554548900724 |
L(r)(E,1)/r! |
Ω |
0.57772744503618 |
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 |
8240b1 32960g1 37080f1 20600d1 |
Quadratic twists by: -4 8 -3 5 |