Atkin-Lehner |
2- 3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314p |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-74617470572204784 = -1 · 24 · 3 · 7 · 19 · 438 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37177,-13444489] |
[a1,a2,a3,a4,a6] |
Generators |
[3045:166162:1] |
Generators of the group modulo torsion |
j |
-5682604966210931473/74617470572204784 |
j-invariant |
L |
8.8984204194026 |
L(r)(E,1)/r! |
Ω |
0.14726667652186 |
Real period |
R |
7.5529819691436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942r3 |
Quadratic twists by: -3 |