Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20440i |
Isogeny class |
Conductor |
20440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-65408000 = -1 · 210 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-388] |
[a1,a2,a3,a4,a6] |
Generators |
[14:40:1] |
Generators of the group modulo torsion |
j |
-7086244/63875 |
j-invariant |
L |
4.1271424531901 |
L(r)(E,1)/r! |
Ω |
0.82910465418314 |
Real period |
R |
0.82963842026598 |
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 |
40880h1 102200d1 |
Quadratic twists by: -4 5 |