Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702bp |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-8591739871486464 = -1 · 29 · 37 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41224,3073403] |
[a1,a2,a3,a4,a6] |
j |
1843623047/2044416 |
j-invariant |
L |
4.9385198192716 |
L(r)(E,1)/r! |
Ω |
0.27436221218176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77616el2 3234i2 9702ce2 106722bv2 |
Quadratic twists by: -4 -3 -7 -11 |