Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384t |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-327421952 = -1 · 212 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -3 2 -4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,101,778] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:26:1] |
Generators of the group modulo torsion |
j |
27818127/79937 |
j-invariant |
L |
3.4408909449364 |
L(r)(E,1)/r! |
Ω |
1.2053655266243 |
Real period |
R |
0.71366130793372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6149b1 |
Quadratic twists by: -4 |