Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088be |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1201408 = -1 · 28 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 2 -2 4 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,140] |
[a1,a2,a3,a4,a6] |
j |
-104272/13 |
j-invariant |
L |
2.6540629830307 |
L(r)(E,1)/r! |
Ω |
2.6540629831605 |
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 |
18772h1 75088q1 |
Quadratic twists by: -4 -19 |