Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93654n |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
1989852189044391936 = 214 · 313 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2087091,1159075957] |
[a1,a2,a3,a4,a6] |
Generators |
[327954:34023223:1331] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
4.8848440272608 |
L(r)(E,1)/r! |
Ω |
0.26254056280513 |
Real period |
R |
9.3030272310774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31218l1 774h1 |
Quadratic twists by: -3 -11 |