Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925i |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
51907078125 = 37 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 1 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-933,-232] |
[a1,a2,a3,a4,a6] |
j |
117440512/67797 |
j-invariant |
L |
1.8854805352971 |
L(r)(E,1)/r! |
Ω |
0.94274047281369 |
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 |
4557j1 113925bp1 |
Quadratic twists by: 5 -7 |