Atkin-Lehner |
2- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650o |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
-3914355200 = -1 · 29 · 52 · 72 · 792 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,162,2971] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-85:1] [1:-57:1] |
Generators of the group modulo torsion |
j |
18800144375/156574208 |
j-invariant |
L |
9.4607292453223 |
L(r)(E,1)/r! |
Ω |
1.0188675338102 |
Real period |
R |
0.25793150323432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27650h1 |
Quadratic twists by: 5 |