Atkin-Lehner |
11- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98527k |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-3.3610999378446E+22 |
Discriminant |
Eigenvalues |
0 1 -3 -2 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-66741367,210028397037] |
[a1,a2,a3,a4,a6] |
Generators |
[221979:12580093:27] |
Generators of the group modulo torsion |
j |
-6811596250443151409152/6963399500259059 |
j-invariant |
L |
3.404467601479 |
L(r)(E,1)/r! |
Ω |
0.11595560137118 |
Real period |
R |
2.4466746935404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999297671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579b1 |
Quadratic twists by: 13 |