Atkin-Lehner |
2+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176b |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-206141297096916992 = -1 · 224 · 236 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 -3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120353,-27079007] |
[a1,a2,a3,a4,a6] |
Generators |
[19078947:1183751764:4913] |
Generators of the group modulo torsion |
j |
-735458479359625/786366642368 |
j-invariant |
L |
4.2248060340333 |
L(r)(E,1)/r! |
Ω |
0.12295700064501 |
Real period |
R |
8.5900069639212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bs2 3818a2 |
Quadratic twists by: -4 8 |