Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7353o |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-38688064935867 = -1 · 36 · 192 · 435 |
Discriminant |
Eigenvalues |
0 3- 2 4 -3 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-149844,-22327812] |
[a1,a2,a3,a4,a6] |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
2.4265374926692 |
L(r)(E,1)/r! |
Ω |
0.12132687463346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648bb1 817b1 |
Quadratic twists by: -4 -3 |