Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340j |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-832102905942000 = -1 · 24 · 38 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6692730,6666509025] |
[a1,a2,a3,a4,a6] |
Generators |
[1500:405:1] |
Generators of the group modulo torsion |
j |
-359442469227794176/9021375 |
j-invariant |
L |
4.5020491755735 |
L(r)(E,1)/r! |
Ω |
0.36463220236309 |
Real period |
R |
0.68593459783992 |
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 |
129360he1 97020bi1 32340be1 |
Quadratic twists by: -4 -3 -7 |