Atkin-Lehner |
2+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318h |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-238702134272 = -1 · 210 · 72 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1081,19573] |
[a1,a2,a3,a4,a6] |
Generators |
[414:8257:1] |
Generators of the group modulo torsion |
j |
2846930232503/4871472128 |
j-invariant |
L |
3.2658188609854 |
L(r)(E,1)/r! |
Ω |
0.67752248727769 |
Real period |
R |
1.2050592129082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38318a1 |
Quadratic twists by: -7 |