Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1638o |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-6368544 = -1 · 25 · 37 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,263] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-23:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
3.7345773807799 |
L(r)(E,1)/r! |
Ω |
2.2858035437784 |
Real period |
R |
0.081690690150186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13104cb1 52416bx1 546b1 40950bq1 |
Quadratic twists by: -4 8 -3 5 |