Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bd |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-521223336000000 = -1 · 29 · 37 · 56 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50408,4475688] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1674:1] |
Generators of the group modulo torsion |
j |
-1770682685192/65152917 |
j-invariant |
L |
8.4989552965491 |
L(r)(E,1)/r! |
Ω |
0.51799446466987 |
Real period |
R |
0.39065297466892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bt1 2976e1 |
Quadratic twists by: -4 5 |