Atkin-Lehner |
2+ 3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450b |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
-1.059338164302E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14325325,21442652125] |
[a1,a2,a3,a4,a6] |
Generators |
[353554725:52308583813:15625] |
Generators of the group modulo torsion |
j |
-33291791573720790625/1084762280245248 |
j-invariant |
L |
3.5941307994809 |
L(r)(E,1)/r! |
Ω |
0.12765295674565 |
Real period |
R |
14.077742083392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450cp1 |
Quadratic twists by: 5 |