Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848d |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-176384398528512 = -1 · 212 · 33 · 23 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23688,-1534032] |
[a1,a2,a3,a4,a6] |
Generators |
[42582:1682110:27] |
Generators of the group modulo torsion |
j |
-358894895199625/43062597297 |
j-invariant |
L |
3.4108403945354 |
L(r)(E,1)/r! |
Ω |
0.19112738406851 |
Real period |
R |
8.9229505524824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2553b1 122544y1 |
Quadratic twists by: -4 -3 |