Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744a |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-12229748209828864 = -1 · 210 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11+ 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-577811,169138242] |
[a1,a2,a3,a4,a6] |
Generators |
[443:326:1] |
Generators of the group modulo torsion |
j |
-25540791588/14641 |
j-invariant |
L |
6.8146874293107 |
L(r)(E,1)/r! |
Ω |
0.39608394034144 |
Real period |
R |
4.3012899130903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14872c1 118976cw1 29744f1 |
Quadratic twists by: -4 8 13 |