Atkin-Lehner |
2- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44408b |
Isogeny class |
Conductor |
44408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-3122060032 = -1 · 28 · 7 · 134 · 61 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-3293] |
[a1,a2,a3,a4,a6] |
Generators |
[21:26:1] |
Generators of the group modulo torsion |
j |
-8821888000/12195547 |
j-invariant |
L |
3.8547291306406 |
L(r)(E,1)/r! |
Ω |
0.55882185513488 |
Real period |
R |
0.86224462572721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816e1 |
Quadratic twists by: -4 |