Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830ch |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
239150811960000 = 26 · 310 · 54 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61448,-5800053] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:273:1] [-135:213:1] |
Generators of the group modulo torsion |
j |
35197580765826361/328053240000 |
j-invariant |
L |
15.745346932559 |
L(r)(E,1)/r! |
Ω |
0.30340133032986 |
Real period |
R |
2.1623376588887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610h2 |
Quadratic twists by: -3 |