Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3135b |
Isogeny class |
Conductor |
3135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72572506875 = 34 · 54 · 11 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4940,-135070] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:43:1] |
Generators of the group modulo torsion |
j |
13332452758522561/72572506875 |
j-invariant |
L |
1.9523265426857 |
L(r)(E,1)/r! |
Ω |
0.56965208393256 |
Real period |
R |
0.85680654813369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160ca3 9405e4 15675s3 34485h3 |
Quadratic twists by: -4 -3 5 -11 |