Atkin-Lehner |
2+ 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808t |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9443838976 = -1 · 210 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -3 1 11- 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,528,484] |
[a1,a2,a3,a4,a6] |
Generators |
[0:22:1] [66:572:1] |
Generators of the group modulo torsion |
j |
15867289148/9222499 |
j-invariant |
L |
7.1013335527589 |
L(r)(E,1)/r! |
Ω |
0.78018558000731 |
Real period |
R |
0.37925450766086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904b1 |
Quadratic twists by: -4 |