Atkin-Lehner |
2+ 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938b |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-3319826588480443392 = -1 · 210 · 33 · 1311 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 1 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1273925,559800909] |
[a1,a2,a3,a4,a6] |
j |
-47369163153390625/687789093888 |
j-invariant |
L |
1.0079083325737 |
L(r)(E,1)/r! |
Ω |
0.2519770819618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226d1 |
Quadratic twists by: 13 |