Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702u |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2175690315034582038 = 2 · 310 · 712 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6232662,-5987079050] |
[a1,a2,a3,a4,a6] |
j |
312196988566716625/25367712678 |
j-invariant |
L |
1.1466068210184 |
L(r)(E,1)/r! |
Ω |
0.095550568418203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616eu4 3234p4 1386d4 106722gi4 |
Quadratic twists by: -4 -3 -7 -11 |