Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374g |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-260059854062736 = -1 · 24 · 312 · 73 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43095,3526090] |
[a1,a2,a3,a4,a6] |
Generators |
[1619:63828:1] |
Generators of the group modulo torsion |
j |
-8850949862460130153/260059854062736 |
j-invariant |
L |
3.1741944921412 |
L(r)(E,1)/r! |
Ω |
0.55049364695875 |
Real period |
R |
0.24025364247142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82992bt1 31122be1 72618g1 |
Quadratic twists by: -4 -3 -7 |