Atkin-Lehner |
2- 3+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742k |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
104119448328 = 23 · 310 · 7 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6682,206879] |
[a1,a2,a3,a4,a6] |
Generators |
[51:19:1] |
Generators of the group modulo torsion |
j |
32994928242555553/104119448328 |
j-invariant |
L |
9.1717141757161 |
L(r)(E,1)/r! |
Ω |
1.0644986206148 |
Real period |
R |
2.8719981401253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226n2 |
Quadratic twists by: -3 |