Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ci |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-1178024320065981024 = -1 · 25 · 33 · 710 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,194431,40553183] |
[a1,a2,a3,a4,a6] |
Generators |
[4763:327844:1] |
Generators of the group modulo torsion |
j |
596183/864 |
j-invariant |
L |
9.5136829348273 |
L(r)(E,1)/r! |
Ω |
0.18563152961929 |
Real period |
R |
5.1250361155519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686ct1 294e1 |
Quadratic twists by: -7 13 |