Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553bc |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1088116324986873 = 3 · 74 · 132 · 197 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78345,-8296337] |
[a1,a2,a3,a4,a6] |
Generators |
[1224444:28919963:1728] |
Generators of the group modulo torsion |
j |
1130389181713/23128833 |
j-invariant |
L |
12.149893483663 |
L(r)(E,1)/r! |
Ω |
0.28571800243623 |
Real period |
R |
5.3155092494312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187b1 |
Quadratic twists by: -19 |