Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bh |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10486312112118528 = -1 · 28 · 39 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43953,-3419710] |
[a1,a2,a3,a4,a6] |
Generators |
[127:2052:1] [154:2646:1] |
Generators of the group modulo torsion |
j |
427694384/477603 |
j-invariant |
L |
7.7061262478877 |
L(r)(E,1)/r! |
Ω |
0.21901776220149 |
Real period |
R |
2.1990585861655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bb2 9576h2 |
Quadratic twists by: -3 -7 |