Atkin-Lehner |
2+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962c |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2828835436710551524 = -1 · 22 · 2910 · 412 |
Discriminant |
Eigenvalues |
2+ -2 2 2 -2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-586195,190712226] |
[a1,a2,a3,a4,a6] |
Generators |
[737:12246:1] |
Generators of the group modulo torsion |
j |
-37450790494993/4755757444 |
j-invariant |
L |
2.9369153755896 |
L(r)(E,1)/r! |
Ω |
0.24701428887642 |
Real period |
R |
2.9724144578076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2378d2 |
Quadratic twists by: 29 |