Atkin-Lehner |
2+ 3+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170a |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
944640 |
Modular degree for the optimal curve |
Δ |
-235063173150000 = -1 · 24 · 33 · 55 · 132 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-304995,-64759675] |
[a1,a2,a3,a4,a6] |
j |
-116208770960400103467/8706043450000 |
j-invariant |
L |
0.81261395197162 |
L(r)(E,1)/r! |
Ω |
0.10157676099806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118170r1 |
Quadratic twists by: -3 |