Atkin-Lehner |
3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913c |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-283485501 = -1 · 37 · 133 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 1 4 -5 13- 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,55,-772] |
[a1,a2,a3,a4,a6] |
j |
8365427/129033 |
j-invariant |
L |
1.6952079087712 |
L(r)(E,1)/r! |
Ω |
0.84760395438513 |
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 |
89739k1 29913f1 |
Quadratic twists by: -3 13 |