Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1925j |
Isogeny class |
Conductor |
1925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
30078125 = 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 11- -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,-469] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:43:8] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
5.1349857458985 |
L(r)(E,1)/r! |
Ω |
1.4410229252459 |
Real period |
R |
3.5634309877633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800cr1 123200cm1 17325bm1 1925g1 |
Quadratic twists by: -4 8 -3 5 |