Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480cr |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
1.0183616223322E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3174696,2170736820] |
[a1,a2,a3,a4,a6] |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
3.2153073563945 |
L(r)(E,1)/r! |
Ω |
0.22966481117103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310b1 73920gb1 55440ex1 92400dn1 |
Quadratic twists by: -4 8 -3 5 |