Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328cf |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1821731722739712 = -1 · 214 · 318 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69123,-7290110] |
[a1,a2,a3,a4,a6] |
j |
-12232183057921/610094268 |
j-invariant |
L |
5.2845248799116 |
L(r)(E,1)/r! |
Ω |
0.14679235777495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5166k1 13776bd1 |
Quadratic twists by: -4 -3 |