Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830k |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-7.2381342712045E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1327725,-716817195] |
[a1,a2,a3,a4,a6] |
Generators |
[46348321062:-3445462110281:8120601] |
Generators of the group modulo torsion |
j |
-355075548057529563601/99288535956165360 |
j-invariant |
L |
2.5892635871049 |
L(r)(E,1)/r! |
Ω |
0.069315988370956 |
Real period |
R |
18.677246389737 |
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 |
8610r1 129150do1 |
Quadratic twists by: -3 5 |