Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200b |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2325620000000 = 28 · 57 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3508,33012] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:300:1] |
Generators of the group modulo torsion |
j |
1193895376/581405 |
j-invariant |
L |
9.1050767979469 |
L(r)(E,1)/r! |
Ω |
0.72759834568708 |
Real period |
R |
1.564234727087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640g2 |
Quadratic twists by: 5 |