Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dh |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
2421146052000000 = 28 · 36 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38630,1722997] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2021:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
12.395315129698 |
L(r)(E,1)/r! |
Ω |
0.41851616386976 |
Real period |
R |
0.61702690087226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050d1 3978b1 |
Quadratic twists by: -3 5 |