Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830ci |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-5263654100829724800 = -1 · 27 · 38 · 52 · 196 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128048,111814931] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:3697:1] [243:-9869:1] |
Generators of the group modulo torsion |
j |
-318501441894315961/7220375995651200 |
j-invariant |
L |
15.066757947785 |
L(r)(E,1)/r! |
Ω |
0.20293074489456 |
Real period |
R |
0.44193935736895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610v2 |
Quadratic twists by: -3 |