Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330ck |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
870 |
Product of Tamagawa factors cp |
deg |
115814400 |
Modular degree for the optimal curve |
Δ |
-1.9745885330379E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2662446030,-53308873511925] |
[a1,a2,a3,a4,a6] |
Generators |
[78993:15102903:1] |
Generators of the group modulo torsion |
j |
-2558699785705393061054401/24206376960000000000 |
j-invariant |
L |
9.6970893511027 |
L(r)(E,1)/r! |
Ω |
0.010502780818813 |
Real period |
R |
1.061250340304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330h1 |
Quadratic twists by: 13 |