Atkin-Lehner |
5+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825d |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
20963579874453125 = 57 · 75 · 135 · 43 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 4 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-251450,48029156] |
[a1,a2,a3,a4,a6] |
j |
112527483322466304/1341669111965 |
j-invariant |
L |
1.5386398794113 |
L(r)(E,1)/r! |
Ω |
0.38465987719869 |
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 |
19565d1 |
Quadratic twists by: 5 |