Atkin-Lehner |
7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26299a |
Isogeny class |
Conductor |
26299 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1523880 |
Modular degree for the optimal curve |
Δ |
-2.5674387718484E+20 |
Discriminant |
Eigenvalues |
-2 -2 1 7+ 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3368680,-2502661138] |
[a1,a2,a3,a4,a6] |
Generators |
[15009217546234315:-13750825110297282179:17881958375] |
Generators of the group modulo torsion |
j |
-2097074704384/127353499 |
j-invariant |
L |
1.6312741830145 |
L(r)(E,1)/r! |
Ω |
0.055523865119202 |
Real period |
R |
29.379694290238 |
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 |
26299g1 |
Quadratic twists by: 17 |