Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042cb |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6192540528174 = -1 · 2 · 32 · 76 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30234,2014389] |
[a1,a2,a3,a4,a6] |
Generators |
[6868:5621:64] |
Generators of the group modulo torsion |
j |
-25979045828113/52635726 |
j-invariant |
L |
9.3986316274518 |
L(r)(E,1)/r! |
Ω |
0.75539804818398 |
Real period |
R |
6.2209795551168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126cq2 858j2 |
Quadratic twists by: -3 -7 |