Atkin-Lehner |
2+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418g |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-402846771712 = -1 · 29 · 74 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2476,-56598] |
[a1,a2,a3,a4,a6] |
Generators |
[60:78:1] |
Generators of the group modulo torsion |
j |
-698765265625/167782912 |
j-invariant |
L |
2.7456900129714 |
L(r)(E,1)/r! |
Ω |
0.33417607196597 |
Real period |
R |
0.91292194056013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418p2 |
Quadratic twists by: -7 |