Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bn |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
198190080 |
Modular degree for the optimal curve |
Δ |
-1.0616114971337E+31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2300422047,-150900830532351] |
[a1,a2,a3,a4,a6] |
Generators |
[1257665364743778301284090251047:1132401909307383055588219009630208:1556313193968547238834147] |
Generators of the group modulo torsion |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
5.6406360273762 |
L(r)(E,1)/r! |
Ω |
0.01132390559453 |
Real period |
R |
41.509795216625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112r1 24528t1 |
Quadratic twists by: -4 8 |