Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bz |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-261468972000000000 = -1 · 211 · 313 · 59 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-465305,-124503303] |
[a1,a2,a3,a4,a6] |
j |
-7824893363477/183638016 |
j-invariant |
L |
4.0159216649458 |
L(r)(E,1)/r! |
Ω |
0.091270946930585 |
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 |
6150k1 18450v1 |
Quadratic twists by: -3 5 |