Atkin-Lehner |
3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913a |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2698876464687 = -1 · 36 · 137 · 59 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1180,77979] |
[a1,a2,a3,a4,a6] |
Generators |
[-190366:2513195:10648] |
Generators of the group modulo torsion |
j |
37595375/559143 |
j-invariant |
L |
5.2412911364091 |
L(r)(E,1)/r! |
Ω |
0.60001702692178 |
Real period |
R |
8.7352373370102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89739f1 2301a1 |
Quadratic twists by: -3 13 |