Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1378c |
Isogeny class |
Conductor |
1378 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1320 |
Modular degree for the optimal curve |
Δ |
-51528116224 = -1 · 211 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7753,264905] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:704:1] |
Generators of the group modulo torsion |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
3.472328522473 |
L(r)(E,1)/r! |
Ω |
1.1187254375745 |
Real period |
R |
0.047027658844833 |
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 |
11024g1 44096f1 12402b1 34450g1 |
Quadratic twists by: -4 8 -3 5 |