Atkin-Lehner |
3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105b |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
582359765625 = 32 · 58 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7731,-262272] |
[a1,a2,a3,a4,a6] |
j |
51101569963777969/582359765625 |
j-invariant |
L |
0.50949445978506 |
L(r)(E,1)/r! |
Ω |
0.50949445978506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97680co2 18315q2 30525t2 67155a2 |
Quadratic twists by: -4 -3 5 -11 |