Atkin-Lehner |
2- 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
66650r |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
7120721457812500 = 22 · 58 · 31 · 435 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -6 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-499513,-136031469] |
[a1,a2,a3,a4,a6] |
Generators |
[-8545830114:4874136287:20570824] |
Generators of the group modulo torsion |
j |
35286137158023985/18229046932 |
j-invariant |
L |
5.7850344650016 |
L(r)(E,1)/r! |
Ω |
0.17958758787235 |
Real period |
R |
16.106442915555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66650b1 |
Quadratic twists by: 5 |