Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484b |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
38605298205429072 = 24 · 34 · 139 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96893,6770334] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:3887:1] |
Generators of the group modulo torsion |
j |
1302642688000/499881213 |
j-invariant |
L |
5.8059251223927 |
L(r)(E,1)/r! |
Ω |
0.33198548560441 |
Real period |
R |
2.9147484750718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268a1 |
Quadratic twists by: 13 |