Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374f |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-65572933939968 = -1 · 28 · 3 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1992,390934] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3083:1] |
Generators of the group modulo torsion |
j |
-873530903492857/65572933939968 |
j-invariant |
L |
3.5677360890688 |
L(r)(E,1)/r! |
Ω |
0.51099400028823 |
Real period |
R |
1.7454882479327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bm2 31122bb2 72618o2 |
Quadratic twists by: -4 -3 -7 |