Atkin-Lehner |
5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1225c |
Isogeny class |
Conductor |
1225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-669921875 = -1 · 59 · 73 |
Discriminant |
Eigenvalues |
2 3 5+ 7- 1 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-175,1531] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
5.8574824913949 |
L(r)(E,1)/r! |
Ω |
1.4643706228487 |
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 |
19600da1 78400dj1 11025bd1 245a1 |
Quadratic twists by: -4 8 -3 5 |