Atkin-Lehner |
2+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
12616c |
Isogeny class |
Conductor |
12616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
151360 |
Modular degree for the optimal curve |
Δ |
-1456121520253952 = -1 · 210 · 192 · 835 |
Discriminant |
Eigenvalues |
2+ 3 4 -3 -3 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26357,-811210] |
[a1,a2,a3,a4,a6] |
j |
1977478112299644/1421993672123 |
j-invariant |
L |
5.3834032634302 |
L(r)(E,1)/r! |
Ω |
0.26917016317151 |
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 |
25232c1 100928l1 113544g1 |
Quadratic twists by: -4 8 -3 |