Atkin-Lehner |
2- 3+ 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bh |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-169737539501376 = -1 · 26 · 33 · 7 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236,-626769] |
[a1,a2,a3,a4,a6] |
Generators |
[117:909:1] |
Generators of the group modulo torsion |
j |
-53625283011/6286575537088 |
j-invariant |
L |
8.8807749681403 |
L(r)(E,1)/r! |
Ω |
0.26166099035988 |
Real period |
R |
0.9427778812765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354c2 |
Quadratic twists by: -3 |