Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320bc |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-6233348800 = -1 · 26 · 52 · 72 · 433 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-365,4775] |
[a1,a2,a3,a4,a6] |
Generators |
[10:45:1] |
Generators of the group modulo torsion |
j |
-84258095104/97396075 |
j-invariant |
L |
11.307862952211 |
L(r)(E,1)/r! |
Ω |
1.215080792089 |
Real period |
R |
2.3265660646291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320bu1 1505a1 |
Quadratic twists by: -4 8 |