Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915f |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1368 |
Modular degree for the optimal curve |
Δ |
-168938315 = -1 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,1369] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
1.7545725102467 |
L(r)(E,1)/r! |
Ω |
1.7545725102467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cx1 53235g1 29575h1 41405d1 |
Quadratic twists by: -4 -3 5 -7 |