Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cq |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-1079395200 = -1 · 27 · 33 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,247,537] |
[a1,a2,a3,a4,a6] |
Generators |
[16:85:1] |
Generators of the group modulo torsion |
j |
66644554055/43175808 |
j-invariant |
L |
10.785149132474 |
L(r)(E,1)/r! |
Ω |
0.96902230610854 |
Real period |
R |
0.26499830132126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450w1 |
Quadratic twists by: 5 |