Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075w |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40500 |
Modular degree for the optimal curve |
Δ |
-88211026875 = -1 · 3 · 54 · 196 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 2 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3008,64094] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
1.0712642823796 |
L(r)(E,1)/r! |
Ω |
1.0712642823799 |
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 |
81225bs1 27075i2 75a1 |
Quadratic twists by: -3 5 -19 |