Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739q |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3025255315387041 = 312 · 112 · 196 |
Discriminant |
Eigenvalues |
1 3- 2 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37431,884952] |
[a1,a2,a3,a4,a6] |
Generators |
[3391752:-639590316:753571] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
9.1623953068549 |
L(r)(E,1)/r! |
Ω |
0.39594995315467 |
Real period |
R |
11.570143188367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11913i2 99b2 |
Quadratic twists by: -3 -19 |