Atkin-Lehner |
3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075bd |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-271633088671875 = -1 · 39 · 58 · 73 · 103 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12083,-947506] |
[a1,a2,a3,a4,a6] |
Generators |
[154:931:1] |
Generators of the group modulo torsion |
j |
-499486720000/695380707 |
j-invariant |
L |
5.8269512508031 |
L(r)(E,1)/r! |
Ω |
0.21667078639024 |
Real period |
R |
2.9881233121193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54075b1 |
Quadratic twists by: 5 |