Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152p |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
19789789114368 = 212 · 35 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64353,6258447] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1764:1] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
8.5249165382465 |
L(r)(E,1)/r! |
Ω |
0.67809543413416 |
Real period |
R |
0.6285926809883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152b2 122304fx1 1248b2 |
Quadratic twists by: -4 8 -7 |