Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352p |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-874971123757056 = -1 · 212 · 39 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58437,-5639949] |
[a1,a2,a3,a4,a6] |
Generators |
[342:3807:1] |
Generators of the group modulo torsion |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
4.999792196724 |
L(r)(E,1)/r! |
Ω |
0.1531753461074 |
Real period |
R |
1.8133873381717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397a1 115056bh1 |
Quadratic twists by: -4 -3 |