Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440t |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-5132808000 = -1 · 26 · 34 · 53 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-3502] |
[a1,a2,a3,a4,a6] |
Generators |
[53:378:1] |
Generators of the group modulo torsion |
j |
-1745337664/80200125 |
j-invariant |
L |
10.936153093375 |
L(r)(E,1)/r! |
Ω |
0.59667489751178 |
Real period |
R |
3.0547492253798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440j1 42720e2 |
Quadratic twists by: -4 8 |