Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766k |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-1492932821098954752 = -1 · 221 · 34 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1064439,426322197] |
[a1,a2,a3,a4,a6] |
Generators |
[171:15705:1] |
Generators of the group modulo torsion |
j |
-622221771892633/6964641792 |
j-invariant |
L |
3.8735346391565 |
L(r)(E,1)/r! |
Ω |
0.26969779664743 |
Real period |
R |
2.3937500215103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298cd1 29766bb1 |
Quadratic twists by: -3 -11 |