Atkin-Lehner |
2+ 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050b |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1869157139062500 = 22 · 38 · 58 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39000,-2128500] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:840:1] [-130:940:1] |
Generators of the group modulo torsion |
j |
419870059539841/119626056900 |
j-invariant |
L |
6.3020308807426 |
L(r)(E,1)/r! |
Ω |
0.3470897424321 |
Real period |
R |
4.5391941263921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810w2 |
Quadratic twists by: 5 |