Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340bf |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
78928556134982400 = 28 · 34 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204836,-33091836] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:1470:1] |
Generators of the group modulo torsion |
j |
31558509702736/2620631475 |
j-invariant |
L |
6.465670493698 |
L(r)(E,1)/r! |
Ω |
0.22559803595037 |
Real period |
R |
1.1941723521772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ds2 97020cm2 4620f2 |
Quadratic twists by: -4 -3 -7 |