Atkin-Lehner |
2+ 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842h |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8081207849729448 = -1 · 23 · 34 · 712 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16384,4255944] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1994:1] |
Generators of the group modulo torsion |
j |
486342375583761143/8081207849729448 |
j-invariant |
L |
2.2273687041015 |
L(r)(E,1)/r! |
Ω |
0.30873043850042 |
Real period |
R |
1.202434457558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526bh3 |
Quadratic twists by: -3 |