Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27650t |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-211695312500000 = -1 · 25 · 512 · 73 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13562,-341469] |
[a1,a2,a3,a4,a6] |
Generators |
[195:3027:1] |
Generators of the group modulo torsion |
j |
17655210697319/13548500000 |
j-invariant |
L |
6.291508078815 |
L(r)(E,1)/r! |
Ω |
0.31354934765642 |
Real period |
R |
1.0032723917049 |
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 |
5530h1 |
Quadratic twists by: 5 |