Atkin-Lehner |
2+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808k |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-206096176 = -1 · 24 · 11 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -3 1 11+ 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,691] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] |
Generators of the group modulo torsion |
j |
-18966528/12881011 |
j-invariant |
L |
4.1970097556852 |
L(r)(E,1)/r! |
Ω |
1.4408182625557 |
Real period |
R |
0.72823371854683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904t1 |
Quadratic twists by: -4 |