Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525o |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
245351362921875 = 314 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77742,8328541] |
[a1,a2,a3,a4,a6] |
Generators |
[-316:1283:1] |
Generators of the group modulo torsion |
j |
4561907001625/21539763 |
j-invariant |
L |
7.7308833944224 |
L(r)(E,1)/r! |
Ω |
0.55803732416513 |
Real period |
R |
3.4634257734032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175e2 4221g2 |
Quadratic twists by: -3 5 |