Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200br |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-506880000000000 = -1 · 219 · 32 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,-1091088] |
[a1,a2,a3,a4,a6] |
Generators |
[138:894:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
3.7427472312269 |
L(r)(E,1)/r! |
Ω |
0.22750465653023 |
Real period |
R |
4.1128248629162 |
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 |
1650e1 52800gg1 39600dh1 13200cu1 |
Quadratic twists by: -4 8 -3 5 |