Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978j |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-1270844800676700732 = -1 · 22 · 36 · 7 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,199380,-42025802] |
[a1,a2,a3,a4,a6] |
Generators |
[654472:24237213:512] |
Generators of the group modulo torsion |
j |
39547260143/57337308 |
j-invariant |
L |
8.0199102792313 |
L(r)(E,1)/r! |
Ω |
0.14438217877558 |
Real period |
R |
4.6288666673892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226i1 |
Quadratic twists by: 53 |