Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33060n |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
684 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-4093219426254937200 = -1 · 24 · 319 · 52 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,258490,-83078175] |
[a1,a2,a3,a4,a6] |
Generators |
[790:-24795:1] |
Generators of the group modulo torsion |
j |
119380471267196597504/255826214140933575 |
j-invariant |
L |
7.7314026049133 |
L(r)(E,1)/r! |
Ω |
0.128336301247 |
Real period |
R |
0.088075003508687 |
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 |
99180c1 |
Quadratic twists by: -3 |