Atkin-Lehner |
5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815b |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3689280 |
Modular degree for the optimal curve |
Δ |
7.2502843954877E+19 |
Discriminant |
Eigenvalues |
2 -1 5+ 7+ 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58939176,-174142194129] |
[a1,a2,a3,a4,a6] |
Generators |
[-154709638203635883678:-14666702935168361557:34868994769580392] |
Generators of the group modulo torsion |
j |
3927820017083104006144/12576816433885 |
j-invariant |
L |
8.2366169523887 |
L(r)(E,1)/r! |
Ω |
0.054487718367332 |
Real period |
R |
25.194108566084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45815s1 |
Quadratic twists by: -7 |