Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bu |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
Δ |
-3457462020829124000 = -1 · 25 · 53 · 710 · 115 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,294822,-64738169] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1987:1] |
Generators of the group modulo torsion |
j |
22672179488666332171/27659696166632992 |
j-invariant |
L |
7.8344341592069 |
L(r)(E,1)/r! |
Ω |
0.13426871267182 |
Real period |
R |
2.9174459193542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
73150t2 |
Quadratic twists by: 5 |