Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574di |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-787508468208 = -1 · 24 · 34 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,300,-42624] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-390:1] |
Generators of the group modulo torsion |
j |
4913/1296 |
j-invariant |
L |
8.4229319295159 |
L(r)(E,1)/r! |
Ω |
0.4211562549703 |
Real period |
R |
0.62498566669966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722du1 35574ch1 294g1 |
Quadratic twists by: -3 -7 -11 |