Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bg |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3308886425600 = 224 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9665,358337] |
[a1,a2,a3,a4,a6] |
Generators |
[67:84:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
9.6476588109093 |
L(r)(E,1)/r! |
Ω |
0.79013190804381 |
Real period |
R |
2.0350312634998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520cc1 1610d1 |
Quadratic twists by: -4 8 |