Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148m |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3682555796886213888 = -1 · 28 · 324 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1827975,-955739378] |
[a1,a2,a3,a4,a6] |
Generators |
[505387033974076165329267850:-54813368596875541205788281717:42386803512103129625000] |
Generators of the group modulo torsion |
j |
-3619653295779250000/19732487766237 |
j-invariant |
L |
4.950651116242 |
L(r)(E,1)/r! |
Ω |
0.064898615310172 |
Real period |
R |
38.141423300163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19716f2 |
Quadratic twists by: -3 |