Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080b |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-3046400000000 = -1 · 216 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6508,-218832] |
[a1,a2,a3,a4,a6] |
Generators |
[4974662:-105793125:10648] |
Generators of the group modulo torsion |
j |
-465142919364/46484375 |
j-invariant |
L |
4.8659839268383 |
L(r)(E,1)/r! |
Ω |
0.26427386938499 |
Real period |
R |
9.2063281514741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080bg1 4760c1 |
Quadratic twists by: -4 8 |