Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2379b |
Isogeny class |
Conductor |
2379 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
64233 = 34 · 13 · 61 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20,29] |
[a1,a2,a3,a4,a6] |
j |
822656953/64233 |
j-invariant |
L |
3.4135591844644 |
L(r)(E,1)/r! |
Ω |
3.4135591844644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064x1 7137g1 59475d1 116571e1 |
Quadratic twists by: -4 -3 5 -7 |