Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592ca |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-814297992192 = -1 · 210 · 311 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2112,-22120] |
[a1,a2,a3,a4,a6] |
Generators |
[1210:42120:1] |
Generators of the group modulo torsion |
j |
1395654656/1090827 |
j-invariant |
L |
7.8598723692167 |
L(r)(E,1)/r! |
Ω |
0.49732648220585 |
Real period |
R |
3.9510626572477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bi1 9648u1 12864bd1 |
Quadratic twists by: -4 8 -3 |