Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080bs |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11786895360000 = -1 · 217 · 33 · 54 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2175,159777] |
[a1,a2,a3,a4,a6] |
Generators |
[32:511:1] |
Generators of the group modulo torsion |
j |
8677445182/89926875 |
j-invariant |
L |
5.1131509606373 |
L(r)(E,1)/r! |
Ω |
0.52586683909756 |
Real period |
R |
2.4308202097614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080z2 17520e2 |
Quadratic twists by: -4 8 |