Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dw |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-167541696000000000 = -1 · 215 · 39 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,131245,-7306253] |
[a1,a2,a3,a4,a6] |
Generators |
[499:13250:1] |
Generators of the group modulo torsion |
j |
812949929037/544768000 |
j-invariant |
L |
10.039983859635 |
L(r)(E,1)/r! |
Ω |
0.18315249631706 |
Real period |
R |
0.45681349609976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850l1 11970f2 |
Quadratic twists by: -3 5 |