Atkin-Lehner |
3+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102459g |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58812436389189 = 3 · 79 · 172 · 412 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1585739,-769252324] |
[a1,a2,a3,a4,a6] |
Generators |
[6245:479507:1] |
Generators of the group modulo torsion |
j |
10927894446681031/1457427 |
j-invariant |
L |
2.000057602939 |
L(r)(E,1)/r! |
Ω |
0.13453696611304 |
Real period |
R |
7.4331154917792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102459s2 |
Quadratic twists by: -7 |