Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cs |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1207224000000000 = -1 · 212 · 38 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40133,-3530637] |
[a1,a2,a3,a4,a6] |
Generators |
[238:675:1] |
Generators of the group modulo torsion |
j |
-111701610496/18862875 |
j-invariant |
L |
5.907778563478 |
L(r)(E,1)/r! |
Ω |
0.16710892810363 |
Real period |
R |
2.2095537587818 |
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 |
1725h1 110400ge1 82800ev1 5520w1 |
Quadratic twists by: -4 8 -3 5 |