Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496p |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-600324423777792 = -1 · 29 · 38 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19581,-526682] |
[a1,a2,a3,a4,a6] |
Generators |
[89:1386:1] |
Generators of the group modulo torsion |
j |
2224491881464/1608379479 |
j-invariant |
L |
8.1520224115645 |
L(r)(E,1)/r! |
Ω |
0.28958719026492 |
Real period |
R |
1.759405864053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496m2 124992ge3 20832bf4 |
Quadratic twists by: -4 8 -3 |