Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350n |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2959607656250 = 2 · 57 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10518692,13133415966] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:3273:1] |
Generators of the group modulo torsion |
j |
70016546394529281/1610 |
j-invariant |
L |
2.9873799328911 |
L(r)(E,1)/r! |
Ω |
0.41899376464498 |
Real period |
R |
3.5649455730764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270k3 8050l3 |
Quadratic twists by: 5 -7 |