Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720n |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-8748269568000 = -1 · 223 · 34 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 5 -3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,560,-142400] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-1280:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
5.5932155772348 |
L(r)(E,1)/r! |
Ω |
0.34320060605925 |
Real period |
R |
0.67905080858516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3090m1 98880bq1 74160bf1 123600cj1 |
Quadratic twists by: -4 8 -3 5 |