Atkin-Lehner |
3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11685b |
Isogeny class |
Conductor |
11685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6743705625 = -1 · 36 · 54 · 192 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48,3933] |
[a1,a2,a3,a4,a6] |
j |
-12633057289/6743705625 |
j-invariant |
L |
2.1580235529502 |
L(r)(E,1)/r! |
Ω |
1.0790117764751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35055i2 58425l2 |
Quadratic twists by: -3 5 |