Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290bd |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1230777990000 = -1 · 24 · 39 · 54 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2617,13231] |
[a1,a2,a3,a4,a6] |
Generators |
[11:202:1] |
Generators of the group modulo torsion |
j |
100739353077/62530000 |
j-invariant |
L |
8.9868104355528 |
L(r)(E,1)/r! |
Ω |
0.53388096603082 |
Real period |
R |
2.1041231583811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290b1 |
Quadratic twists by: -3 |