Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350bc |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-1168518680000000 = -1 · 29 · 57 · 74 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26312,-67719] |
[a1,a2,a3,a4,a6] |
Generators |
[245:4477:1] |
Generators of the group modulo torsion |
j |
53699726759/31147520 |
j-invariant |
L |
6.3313021785803 |
L(r)(E,1)/r! |
Ω |
0.28926708015677 |
Real period |
R |
0.20266104351697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270e2 56350bn2 |
Quadratic twists by: 5 -7 |