Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350dl |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-3859622062846875000 = -1 · 23 · 39 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,50612,-94415608] |
[a1,a2,a3,a4,a6] |
j |
7604375/2047032 |
j-invariant |
L |
6.2985532124293 |
L(r)(E,1)/r! |
Ω |
0.11663987430425 |
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 |
76050ct1 25350h1 1950m1 |
Quadratic twists by: -3 5 13 |