Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ba |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-192150220308480000 = -1 · 224 · 39 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1028067,-401514859] |
[a1,a2,a3,a4,a6] |
Generators |
[12230:313673:8] [4870:329341:1] |
Generators of the group modulo torsion |
j |
-9768252938901075/15619588096 |
j-invariant |
L |
7.5310374623834 |
L(r)(E,1)/r! |
Ω |
0.074958788706907 |
Real period |
R |
12.558629868981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850eo1 59850dy2 |
Quadratic twists by: -3 5 |