Atkin-Lehner |
2- 3+ 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170r |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2833920 |
Modular degree for the optimal curve |
Δ |
-171361053226350000 = -1 · 24 · 39 · 55 · 132 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2744957,1751256181] |
[a1,a2,a3,a4,a6] |
Generators |
[2041:67154:1] |
Generators of the group modulo torsion |
j |
-116208770960400103467/8706043450000 |
j-invariant |
L |
14.829314725019 |
L(r)(E,1)/r! |
Ω |
0.3062748779915 |
Real period |
R |
0.20174299572583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118170a1 |
Quadratic twists by: -3 |