Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bi |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1578153780000000 = -1 · 28 · 36 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22092,1441188] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-1974:1] |
Generators of the group modulo torsion |
j |
298091207216/394538445 |
j-invariant |
L |
8.0716964387823 |
L(r)(E,1)/r! |
Ω |
0.3201845659727 |
Real period |
R |
0.70026420278108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740a2 |
Quadratic twists by: 5 |