Atkin-Lehner |
2+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20440b |
Isogeny class |
Conductor |
20440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-114642563840 = -1 · 28 · 5 · 75 · 732 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2721,57925] |
[a1,a2,a3,a4,a6] |
Generators |
[21:98:1] [119648931:-197694658:4019679] |
Generators of the group modulo torsion |
j |
-8706206639104/447822515 |
j-invariant |
L |
6.1334892309591 |
L(r)(E,1)/r! |
Ω |
1.0396727114943 |
Real period |
R |
0.14748605890946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40880b1 102200n1 |
Quadratic twists by: -4 5 |