Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300h |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-4959439143750000 = -1 · 24 · 34 · 58 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34958,-4208463] |
[a1,a2,a3,a4,a6] |
Generators |
[248:1521:1] |
Generators of the group modulo torsion |
j |
-755954840320/793510263 |
j-invariant |
L |
3.5951617519132 |
L(r)(E,1)/r! |
Ω |
0.16757539224093 |
Real period |
R |
1.7878329786552 |
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 |
109200hf1 81900bh1 27300u1 |
Quadratic twists by: -4 -3 5 |