Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200f |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
332024000000000000 = 215 · 512 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320033,-64039937] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:2200:1] |
Generators of the group modulo torsion |
j |
7080100070408/648484375 |
j-invariant |
L |
2.5931308135543 |
L(r)(E,1)/r! |
Ω |
0.20190137781819 |
Real period |
R |
1.6054440169259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997737706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cf2 61600i2 24640j2 |
Quadratic twists by: -4 8 5 |