Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
61268g |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-1609000308311296 = -1 · 28 · 179 · 53 |
Discriminant |
Eigenvalues |
2- 2 1 -1 4 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-519140,144157064] |
[a1,a2,a3,a4,a6] |
Generators |
[37130:501126:125] |
Generators of the group modulo torsion |
j |
-509680208/53 |
j-invariant |
L |
10.024559478007 |
L(r)(E,1)/r! |
Ω |
0.45515253531705 |
Real period |
R |
3.6707692111013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61268h1 |
Quadratic twists by: 17 |