Atkin-Lehner |
3+ 5- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
25365f |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
89407693425 = 3 · 52 · 19 · 894 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2670,-52230] |
[a1,a2,a3,a4,a6] |
Generators |
[296004:345109:4913] |
Generators of the group modulo torsion |
j |
2105075429837281/89407693425 |
j-invariant |
L |
3.1178381273983 |
L(r)(E,1)/r! |
Ω |
0.66589942967424 |
Real period |
R |
9.3642913282673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76095c1 126825n1 |
Quadratic twists by: -3 5 |