Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360b |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
1.149305625E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821296,-235242404] |
[a1,a2,a3,a4,a6] |
Generators |
[-53720782197600:765067701894073:108394872832] |
Generators of the group modulo torsion |
j |
59830606774029857476/11223687744140625 |
j-invariant |
L |
3.7832530223691 |
L(r)(E,1)/r! |
Ω |
0.160648094359 |
Real period |
R |
23.549940243504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720o1 |
Quadratic twists by: -4 |