Atkin-Lehner |
2- 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048t |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1128548584194048 = 216 · 32 · 17 · 1034 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212432,37722048] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:8034:1] [298:890:1] |
Generators of the group modulo torsion |
j |
258836561772597073/275524556688 |
j-invariant |
L |
9.1275470920609 |
L(r)(E,1)/r! |
Ω |
0.48676088431077 |
Real period |
R |
9.3758017399739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999085 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10506h3 |
Quadratic twists by: -4 |