Atkin-Lehner |
2+ 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488c |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-760462706478385152 = -1 · 211 · 318 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148179,47353358] |
[a1,a2,a3,a4,a6] |
Generators |
[27298:1585375:8] |
Generators of the group modulo torsion |
j |
-241005087402914/509354843481 |
j-invariant |
L |
8.4581138654083 |
L(r)(E,1)/r! |
Ω |
0.25255105731435 |
Real period |
R |
8.3726771478572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23496c2 |
Quadratic twists by: -3 |