Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344h |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-15461004688128 = -1 · 28 · 316 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 1 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5711,-88645] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2187:1] |
Generators of the group modulo torsion |
j |
80453358783488/60394549563 |
j-invariant |
L |
6.1419727206041 |
L(r)(E,1)/r! |
Ω |
0.39097338362312 |
Real period |
R |
0.98183996946664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672g1 |
Quadratic twists by: -4 |