Atkin-Lehner |
2+ 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978a |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-427339584 = -1 · 26 · 33 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 -7 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105,-931] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] [14:49:1] |
Generators of the group modulo torsion |
j |
4716275733/15827392 |
j-invariant |
L |
4.7514250124826 |
L(r)(E,1)/r! |
Ω |
0.85507514107924 |
Real period |
R |
0.34729586794601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824bf1 12978r1 90846q1 |
Quadratic twists by: -4 -3 -7 |