Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574j |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-608340492288 = -1 · 214 · 36 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 2 2 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2068,-10385] |
[a1,a2,a3,a4,a6] |
Generators |
[53:469:1] |
Generators of the group modulo torsion |
j |
1342284742791/834486272 |
j-invariant |
L |
6.8471734895964 |
L(r)(E,1)/r! |
Ω |
0.52786032544089 |
Real period |
R |
0.4632701086949 |
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 |
3286b1 |
Quadratic twists by: -3 |