Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410bh |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
1.0867465659645E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38922073,-78869010244] |
[a1,a2,a3,a4,a6] |
Generators |
[-2405:30002:1] |
Generators of the group modulo torsion |
j |
2765523913831303451/460886630400000 |
j-invariant |
L |
5.149430088846 |
L(r)(E,1)/r! |
Ω |
0.061128149186512 |
Real period |
R |
2.1059978738823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230df1 127050fx1 25410cw1 |
Quadratic twists by: -3 5 -11 |