Atkin-Lehner |
2+ 3- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130w |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
329728 |
Modular degree for the optimal curve |
Δ |
-16775198392320 = -1 · 214 · 38 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8334,-350892] |
[a1,a2,a3,a4,a6] |
Generators |
[176328:3048705:512] |
Generators of the group modulo torsion |
j |
-87818493850849/23011246080 |
j-invariant |
L |
4.4602575609107 |
L(r)(E,1)/r! |
Ω |
0.24645590487611 |
Real period |
R |
9.048794293156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710be1 |
Quadratic twists by: -3 |