Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384z |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-5481502208 = -1 · 29 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4720,-123304] |
[a1,a2,a3,a4,a6] |
Generators |
[89:392:1] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
2.790273681737 |
L(r)(E,1)/r! |
Ω |
0.2879811859048 |
Real period |
R |
2.4222708099579 |
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 |
20384y1 40768dm1 2912f1 |
Quadratic twists by: -4 8 -7 |