Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305m |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
176505 = 3 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-941360,-351624105] |
[a1,a2,a3,a4,a6] |
Generators |
[73044:463263:64] |
Generators of the group modulo torsion |
j |
92255222857130255543041/176505 |
j-invariant |
L |
3.1303779855215 |
L(r)(E,1)/r! |
Ω |
0.15327122101444 |
Real period |
R |
10.211890936873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880br6 12915i5 21525d6 30135d6 |
Quadratic twists by: -4 -3 5 -7 |