Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bd |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2433377865318400 = 214 · 52 · 74 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-822163,286926162] |
[a1,a2,a3,a4,a6] |
Generators |
[591:-2730:1] [-354:23100:1] |
Generators of the group modulo torsion |
j |
15005053520986088169/594086392900 |
j-invariant |
L |
10.261849376258 |
L(r)(E,1)/r! |
Ω |
0.43009858714183 |
Real period |
R |
1.4912059820613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999076 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010a2 |
Quadratic twists by: -4 |