Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010ba |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
83192568750000 = 24 · 36 · 58 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10959,51965] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:607:1] [-86:637:1] |
Generators of the group modulo torsion |
j |
199678477092849/114118750000 |
j-invariant |
L |
6.8703567827284 |
L(r)(E,1)/r! |
Ω |
0.52055518613767 |
Real period |
R |
0.41244166839091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890f2 |
Quadratic twists by: -3 |