Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cb |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2910304687500 = -1 · 22 · 36 · 59 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3442,25481] |
[a1,a2,a3,a4,a6] |
Generators |
[72693:811189:729] |
Generators of the group modulo torsion |
j |
6187953842279/3992187500 |
j-invariant |
L |
8.9885177875299 |
L(r)(E,1)/r! |
Ω |
0.50127150285808 |
Real period |
R |
8.9657179156033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110c1 |
Quadratic twists by: -3 |