Atkin-Lehner |
2+ 5+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98050a |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
6.7115225E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1064901,153358448] |
[a1,a2,a3,a4,a6] |
Generators |
[83:8054:1] |
Generators of the group modulo torsion |
j |
8547336547540158529/4295374400000000 |
j-invariant |
L |
1.6830328065192 |
L(r)(E,1)/r! |
Ω |
0.17306021698451 |
Real period |
R |
4.8625641984272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999857147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19610f1 |
Quadratic twists by: 5 |