Atkin-Lehner |
2+ 3+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110g |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
247152704186887200 = 25 · 33 · 52 · 1310 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1039194,407306900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1079:17017:1] [-611:28834:1] |
Generators of the group modulo torsion |
j |
4596741427192497794043/9153803858773600 |
j-invariant |
L |
7.6514938780456 |
L(r)(E,1)/r! |
Ω |
0.312394636302 |
Real period |
R |
2.4493038579304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bm2 |
Quadratic twists by: -3 |