Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116272a |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-53133513472 = -1 · 28 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 1 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,-8788] |
[a1,a2,a3,a4,a6] |
Generators |
[57953:141311:4913] |
Generators of the group modulo torsion |
j |
27648/43 |
j-invariant |
L |
5.4257742231361 |
L(r)(E,1)/r! |
Ω |
0.59246249407648 |
Real period |
R |
9.1580044637573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58136f1 688a1 |
Quadratic twists by: -4 13 |