Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340c |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-748695550846320 = -1 · 24 · 34 · 5 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-396426,96212061] |
[a1,a2,a3,a4,a6] |
Generators |
[363:99:1] |
Generators of the group modulo torsion |
j |
-8788102954619113216/954968814855 |
j-invariant |
L |
3.1836730617717 |
L(r)(E,1)/r! |
Ω |
0.48556458790053 |
Real period |
R |
3.2783208877908 |
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 |
129360gw2 97020dd2 32340bi2 |
Quadratic twists by: -4 -3 -7 |