Atkin-Lehner |
2+ 3- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842k |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-5814953088 = -1 · 27 · 3 · 75 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-396,-4790] |
[a1,a2,a3,a4,a6] |
j |
-6842767821625/5814953088 |
j-invariant |
L |
2.5838353420587 |
L(r)(E,1)/r! |
Ω |
0.51676706840075 |
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 |
113526be1 |
Quadratic twists by: -3 |