Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386z |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-767682438786536 = -1 · 23 · 76 · 13 · 894 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 2 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21853,489705] |
[a1,a2,a3,a4,a6] |
Generators |
[21:968:1] |
Generators of the group modulo torsion |
j |
9809964306143/6525193064 |
j-invariant |
L |
4.9641265006744 |
L(r)(E,1)/r! |
Ω |
0.31683113180839 |
Real period |
R |
1.3056709671582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999539603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314c1 |
Quadratic twists by: -7 |