Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27209n |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-1068455560198160771 = -1 · 72 · 1311 · 233 |
Discriminant |
Eigenvalues |
2 3 -3 7- -3 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-258739,-70988915] |
[a1,a2,a3,a4,a6] |
Generators |
[252996102:9527345335:157464] |
Generators of the group modulo torsion |
j |
-396870925750272/221358574619 |
j-invariant |
L |
15.445338819409 |
L(r)(E,1)/r! |
Ω |
0.10316992761729 |
Real period |
R |
12.475646712274 |
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 |
2093a1 |
Quadratic twists by: 13 |