Atkin-Lehner |
2- 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538k |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
-14660712486 = -1 · 2 · 32 · 77 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 -1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-489,7119] |
[a1,a2,a3,a4,a6] |
Generators |
[102:387:8] |
Generators of the group modulo torsion |
j |
-12933194124817/14660712486 |
j-invariant |
L |
9.3172763815857 |
L(r)(E,1)/r! |
Ω |
1.1322225162273 |
Real period |
R |
4.1145959597367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614e1 |
Quadratic twists by: -3 |