Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bn |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-171428222448000000 = -1 · 210 · 310 · 56 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75033,-18301059] |
[a1,a2,a3,a4,a6] |
Generators |
[399:8463:1] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
4.7067871279658 |
L(r)(E,1)/r! |
Ω |
0.16354415812493 |
Real period |
R |
2.3983263309236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cm1 2898o1 |
Quadratic twists by: -3 5 |