Atkin-Lehner |
3- 7+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38157i |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-560801327499 = -1 · 35 · 74 · 233 · 79 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -3 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18191,938999] |
[a1,a2,a3,a4,a6] |
Generators |
[-886:10139:8] [79:34:1] |
Generators of the group modulo torsion |
j |
-665759400883093504/560801327499 |
j-invariant |
L |
7.9928480350504 |
L(r)(E,1)/r! |
Ω |
0.91511964881581 |
Real period |
R |
0.29114036419149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471i1 |
Quadratic twists by: -3 |