Atkin-Lehner |
2+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2378c |
Isogeny class |
Conductor |
2378 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1380 |
Modular degree for the optimal curve |
Δ |
-31998368 = -1 · 25 · 293 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -2 5 1 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-537,-4836] |
[a1,a2,a3,a4,a6] |
j |
-17079827632777/31998368 |
j-invariant |
L |
1.4878029172067 |
L(r)(E,1)/r! |
Ω |
0.49593430573556 |
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 |
19024d1 76096a1 21402e1 59450o1 |
Quadratic twists by: -4 8 -3 5 |