Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210z |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-30401946095040 = -1 · 26 · 39 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11693,-551339] |
[a1,a2,a3,a4,a6] |
j |
-1860867/320 |
j-invariant |
L |
1.3645266330916 |
L(r)(E,1)/r! |
Ω |
0.22742110551526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680ck3 15210d1 76050h3 90a3 |
Quadratic twists by: -4 -3 5 13 |