Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bc |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5098399416320000 = 217 · 54 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117185,15092417] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:5520:1] |
Generators of the group modulo torsion |
j |
1357792998752738/38897700625 |
j-invariant |
L |
9.9784612898899 |
L(r)(E,1)/r! |
Ω |
0.42944656260349 |
Real period |
R |
1.4522268541066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ci2 6440f2 |
Quadratic twists by: -4 8 |