Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978r |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-311530556736 = -1 · 26 · 39 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,943,24193] |
[a1,a2,a3,a4,a6] |
Generators |
[43:356:1] |
Generators of the group modulo torsion |
j |
4716275733/15827392 |
j-invariant |
L |
7.7070495088621 |
L(r)(E,1)/r! |
Ω |
0.68527437184713 |
Real period |
R |
0.23430546658535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824be1 12978a1 90846ct1 |
Quadratic twists by: -4 -3 -7 |