Atkin-Lehner |
3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605c |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3558495322265625 = 36 · 510 · 72 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-197087,-33636864] |
[a1,a2,a3,a4,a6] |
Generators |
[76112:20959844:1] |
Generators of the group modulo torsion |
j |
846644500581388500601/3558495322265625 |
j-invariant |
L |
4.2380107406502 |
L(r)(E,1)/r! |
Ω |
0.22664418845116 |
Real period |
R |
3.73979211169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31815b2 53025r2 74235j2 |
Quadratic twists by: -3 5 -7 |