Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350be |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-87609600000000000 = -1 · 217 · 34 · 511 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-406501,100733648] |
[a1,a2,a3,a4,a6] |
j |
-2813198004118489/33177600000 |
j-invariant |
L |
2.7320600209326 |
L(r)(E,1)/r! |
Ω |
0.3415075026166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050eu1 5070s1 25350cz1 |
Quadratic twists by: -3 5 13 |