Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310j |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-329643718157812500 = -1 · 22 · 316 · 58 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19125,-27596883] |
[a1,a2,a3,a4,a6] |
Generators |
[587:13356:1] |
Generators of the group modulo torsion |
j |
773618103830753999/329643718157812500 |
j-invariant |
L |
6.0189813289774 |
L(r)(E,1)/r! |
Ω |
0.1426847590951 |
Real period |
R |
2.6364857427439 |
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 |
90480cb5 33930j5 56550w5 |
Quadratic twists by: -4 -3 5 |