Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112l |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1116971608080384 = -1 · 215 · 34 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25697,2266785] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1960:1] |
Generators of the group modulo torsion |
j |
-57271419995336/34087268313 |
j-invariant |
L |
7.4436617231356 |
L(r)(E,1)/r! |
Ω |
0.45332227643639 |
Real period |
R |
1.0262651595246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112u3 49056j2 |
Quadratic twists by: -4 8 |