Atkin-Lehner |
5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4355a |
Isogeny class |
Conductor |
4355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
-544375 = -1 · 54 · 13 · 67 |
Discriminant |
Eigenvalues |
1 0 5+ 0 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10,31] |
[a1,a2,a3,a4,a6] |
j |
104487111/544375 |
j-invariant |
L |
1.0519050317113 |
L(r)(E,1)/r! |
Ω |
2.1038100634226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69680l1 39195u1 21775d1 56615d1 |
Quadratic twists by: -4 -3 5 13 |