Atkin-Lehner |
3- 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38157f |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11418624 |
Modular degree for the optimal curve |
Δ |
-6923473179 = -1 · 3 · 74 · 233 · 79 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ 5 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-935508824,11013050971130] |
[a1,a2,a3,a4,a6] |
j |
-90545605507860983853531897106432/6923473179 |
j-invariant |
L |
1.7700300567383 |
L(r)(E,1)/r! |
Ω |
0.22125375708655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471p1 |
Quadratic twists by: -3 |