Atkin-Lehner |
3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015l |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1.833657421301E+19 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1116192,-404445195] |
[a1,a2,a3,a4,a6] |
j |
210966209738334797824/25153051046653125 |
j-invariant |
L |
1.4802562811234 |
L(r)(E,1)/r! |
Ω |
0.14802562811248 |
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 |
10005i1 |
Quadratic twists by: -3 |