Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350u |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4657679687500 = -1 · 22 · 59 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 6 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3124,79398] |
[a1,a2,a3,a4,a6] |
Generators |
[47:551:1] |
Generators of the group modulo torsion |
j |
4405959551/6083500 |
j-invariant |
L |
3.3237402503555 |
L(r)(E,1)/r! |
Ω |
0.52179182056954 |
Real period |
R |
0.530821571517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270r2 56350a2 |
Quadratic twists by: 5 -7 |