Atkin-Lehner |
3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905a |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-3.2347840380249E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,811470,-818512849] |
[a1,a2,a3,a4,a6] |
Generators |
[21532432194194:432421315917715:28177720507] |
Generators of the group modulo torsion |
j |
3002268464203040397/16434405517578125 |
j-invariant |
L |
4.0252460922758 |
L(r)(E,1)/r! |
Ω |
0.086075246547846 |
Real period |
R |
23.382135129739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905j1 |
Quadratic twists by: -3 |