Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245b |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-9704852751735 = -1 · 37 · 5 · 316 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,149931] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:2107:8] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
5.7295588618729 |
L(r)(E,1)/r! |
Ω |
0.58094307935655 |
Real period |
R |
2.4656283315318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415g1 45a1 |
Quadratic twists by: -3 -31 |