Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510q |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
2123546400000000 = 211 · 32 · 58 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28993486861,-1900200107231215] |
[a1,a2,a3,a4,a6] |
Generators |
[351729994:125335035505:1331] |
Generators of the group modulo torsion |
j |
2695411376533589106170675619466398289/2123546400000000 |
j-invariant |
L |
8.1009313580738 |
L(r)(E,1)/r! |
Ω |
0.01156976246272 |
Real period |
R |
15.913211434816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530p4 122550d4 |
Quadratic twists by: -3 5 |