Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bb |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13023360 |
Modular degree for the optimal curve |
Δ |
-4.2425625E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134733776,1159481111198] |
[a1,a2,a3,a4,a6] |
Generators |
[13200111513401127076:-1252614126519402153567:1592472502789433] |
Generators of the group modulo torsion |
j |
-17311437234395043487224049/27152400000000000000000 |
j-invariant |
L |
4.6685853568375 |
L(r)(E,1)/r! |
Ω |
0.04759377183809 |
Real period |
R |
24.52308976855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150fm1 5610x1 |
Quadratic twists by: -3 5 |