Atkin-Lehner |
5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
2575a |
Isogeny class |
Conductor |
2575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
-201171875 = -1 · 59 · 103 |
Discriminant |
Eigenvalues |
1 1 5- 2 -2 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,673] |
[a1,a2,a3,a4,a6] |
j |
6859/103 |
j-invariant |
L |
2.6500839037996 |
L(r)(E,1)/r! |
Ω |
1.3250419518998 |
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 |
41200bu1 23175s1 2575b1 126175j1 |
Quadratic twists by: -4 -3 5 -7 |