Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bp |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
151040 |
Modular degree for the optimal curve |
Δ |
-5944622581440 = -1 · 26 · 34 · 5 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17615,-913365] |
[a1,a2,a3,a4,a6] |
j |
-9445312588271104/92884727835 |
j-invariant |
L |
4.141638306259 |
L(r)(E,1)/r! |
Ω |
0.20708191531528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120m1 22560o1 |
Quadratic twists by: -4 8 |