Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590br |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-5439175606408500 = -1 · 22 · 315 · 53 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11848,3510479] |
[a1,a2,a3,a4,a6] |
Generators |
[357:7111:1] |
Generators of the group modulo torsion |
j |
252328138876871/7461146236500 |
j-invariant |
L |
9.1283457311124 |
L(r)(E,1)/r! |
Ω |
0.32285085562969 |
Real period |
R |
1.1780911593199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530f1 |
Quadratic twists by: -3 |