Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6435a |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-19350849375 = -1 · 39 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,660,1331] |
[a1,a2,a3,a4,a6] |
Generators |
[98:951:1] |
Generators of the group modulo torsion |
j |
1613964717/983125 |
j-invariant |
L |
4.6636706608595 |
L(r)(E,1)/r! |
Ω |
0.75077517424651 |
Real period |
R |
3.1059036185767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960ce1 6435d1 32175c1 70785d1 |
Quadratic twists by: -4 -3 5 -11 |