Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590ch |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-160671600 = -1 · 24 · 36 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,-611] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
12326391/220400 |
j-invariant |
L |
9.3552993484097 |
L(r)(E,1)/r! |
Ω |
0.88598017062333 |
Real period |
R |
1.3199081168234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5510c1 |
Quadratic twists by: -3 |