Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040b |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12549703400000000 = 29 · 58 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58643,909558] |
[a1,a2,a3,a4,a6] |
Generators |
[103025:11301706:15625] |
Generators of the group modulo torsion |
j |
9024895368/5078125 |
j-invariant |
L |
5.9921605159477 |
L(r)(E,1)/r! |
Ω |
0.3451194333679 |
Real period |
R |
8.6812852835791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040c3 54080cu3 2080f3 |
Quadratic twists by: -4 8 13 |