Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352f |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-205328017152 = -1 · 28 · 310 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5492,156348] |
[a1,a2,a3,a4,a6] |
Generators |
[22:216:1] |
Generators of the group modulo torsion |
j |
-71573854773328/802062567 |
j-invariant |
L |
8.9192779880849 |
L(r)(E,1)/r! |
Ω |
1.0061774993996 |
Real period |
R |
0.88645174369406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19176d1 115056h1 |
Quadratic twists by: -4 -3 |