Atkin-Lehner |
3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12615c |
Isogeny class |
Conductor |
12615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-70735274039593125 = -1 · 38 · 54 · 297 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,94595,6231200] |
[a1,a2,a3,a4,a6] |
j |
157376536199/118918125 |
j-invariant |
L |
1.7722758807292 |
L(r)(E,1)/r! |
Ω |
0.22153448509116 |
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 |
37845c3 63075o3 435c4 |
Quadratic twists by: -3 5 29 |