Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034i |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
-4341486856601004 = -1 · 22 · 3 · 113 · 437 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50886,-5442096] |
[a1,a2,a3,a4,a6] |
Generators |
[64482:496573:216] |
Generators of the group modulo torsion |
j |
-2305199161/686796 |
j-invariant |
L |
12.619508338754 |
L(r)(E,1)/r! |
Ω |
0.15653373262433 |
Real period |
R |
3.3591024546584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2838a1 |
Quadratic twists by: -43 |