Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405k |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63866880 |
Modular degree for the optimal curve |
Δ |
2.004193347406E+28 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3607953888,83135565962104] |
[a1,a2,a3,a4,a6] |
Generators |
[1128393604163187771916:528989673606572462169091:4828608566596261] |
Generators of the group modulo torsion |
j |
25223114924944726687744/97326630419035005 |
j-invariant |
L |
4.4413634202827 |
L(r)(E,1)/r! |
Ω |
0.038645965624829 |
Real period |
R |
28.731093585544 |
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 |
30135p1 90405bg1 |
Quadratic twists by: -3 -7 |