Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cx |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-77616834626580480 = -1 · 212 · 34 · 5 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115255,-20171095] |
[a1,a2,a3,a4,a6] |
j |
-95575628340361/43812679680 |
j-invariant |
L |
6.0842649498047 |
L(r)(E,1)/r! |
Ω |
0.1267555197876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230bg1 127050d1 2310j1 |
Quadratic twists by: -3 5 -11 |