Atkin-Lehner |
3+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
89889c |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-2.9452960672537E+19 |
Discriminant |
Eigenvalues |
0 3+ -1 -5 -3 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1635811,-846010737] |
[a1,a2,a3,a4,a6] |
Generators |
[2347:-90761:1] |
Generators of the group modulo torsion |
j |
-10289677060440064/626047595379 |
j-invariant |
L |
2.1095713577891 |
L(r)(E,1)/r! |
Ω |
0.066513315597745 |
Real period |
R |
1.9822829209599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4731c1 |
Quadratic twists by: -19 |