Atkin-Lehner |
2+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1378a |
Isogeny class |
Conductor |
1378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3800 |
Modular degree for the optimal curve |
Δ |
-1225307193344 = -1 · 225 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -1 5 4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13809,625668] |
[a1,a2,a3,a4,a6] |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
1.7353279796103 |
L(r)(E,1)/r! |
Ω |
0.86766398980517 |
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 |
11024h1 44096g1 12402h1 34450s1 |
Quadratic twists by: -4 8 -3 5 |