Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978k |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-175779527196672 = -1 · 216 · 312 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8703,-558275] |
[a1,a2,a3,a4,a6] |
Generators |
[897:26540:1] |
Generators of the group modulo torsion |
j |
99994258523375/241124179968 |
j-invariant |
L |
3.4724007482815 |
L(r)(E,1)/r! |
Ω |
0.29509654844477 |
Real period |
R |
5.8834994285462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824bt1 4326i1 90846by1 |
Quadratic twists by: -4 -3 -7 |