Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590be |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3470506560 = 26 · 39 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1622,25381] |
[a1,a2,a3,a4,a6] |
Generators |
[29:31:1] |
Generators of the group modulo torsion |
j |
23962599387/176320 |
j-invariant |
L |
8.9403628107636 |
L(r)(E,1)/r! |
Ω |
1.4152233820113 |
Real period |
R |
2.1057601045929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590c1 |
Quadratic twists by: -3 |