Atkin-Lehner |
2+ 3+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
39114d |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-567378526943232 = -1 · 211 · 33 · 413 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -6 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15243,884277] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:2097:8] |
Generators of the group modulo torsion |
j |
14506253759179125/21014019516416 |
j-invariant |
L |
2.2512379302062 |
L(r)(E,1)/r! |
Ω |
0.35081650231508 |
Real period |
R |
3.2085690316005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39114i2 |
Quadratic twists by: -3 |