Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cn |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
631680 |
Modular degree for the optimal curve |
Δ |
410471846203125 = 3 · 56 · 710 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20008,479644] |
[a1,a2,a3,a4,a6] |
j |
200704/93 |
j-invariant |
L |
0.95164824577913 |
L(r)(E,1)/r! |
Ω |
0.47582391017969 |
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 |
4557g1 113925b1 |
Quadratic twists by: 5 -7 |