Atkin-Lehner |
2- 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842r |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
49104 |
Modular degree for the optimal curve |
Δ |
-425192712 = -1 · 23 · 3 · 7 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -5 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2261,40451] |
[a1,a2,a3,a4,a6] |
j |
-1278313584519889/425192712 |
j-invariant |
L |
4.9308685991901 |
L(r)(E,1)/r! |
Ω |
1.643622866416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113526n1 |
Quadratic twists by: -3 |