Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010p |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
355594796873809920 = 218 · 34 · 5 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181669,-8084464] |
[a1,a2,a3,a4,a6] |
Generators |
[484:3932:1] |
Generators of the group modulo torsion |
j |
16431620361967/8811970560 |
j-invariant |
L |
5.6135032526277 |
L(r)(E,1)/r! |
Ω |
0.24603490481915 |
Real period |
R |
5.703970382515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122010g1 |
Quadratic twists by: -7 |