Atkin-Lehner |
3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12615c |
Isogeny class |
Conductor |
12615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1012998986246025 = 34 · 52 · 298 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27350,816842] |
[a1,a2,a3,a4,a6] |
j |
3803721481/1703025 |
j-invariant |
L |
1.7722758807292 |
L(r)(E,1)/r! |
Ω |
0.44306897018231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37845c2 63075o2 435c2 |
Quadratic twists by: -3 5 29 |