Atkin-Lehner |
2- 3- 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610bm |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
37449000 = 23 · 33 · 53 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-400,3032] |
[a1,a2,a3,a4,a6] |
j |
7078993977601/37449000 |
j-invariant |
L |
6.192722533632 |
L(r)(E,1)/r! |
Ω |
2.0642408445185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124830ba1 |
Quadratic twists by: -3 |