Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614s |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-11310057304 = -1 · 23 · 73 · 132 · 293 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59388599,-176163096383] |
[a1,a2,a3,a4,a6] |
Generators |
[13581419808820280274:-7874851662539240014115:40445442797976] |
Generators of the group modulo torsion |
j |
-137071210662988312156109833/66923416 |
j-invariant |
L |
7.6795807594238 |
L(r)(E,1)/r! |
Ω |
0.027192165129687 |
Real period |
R |
31.379875305167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614j2 |
Quadratic twists by: 13 |