Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975bk |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
1732649895703125 = 311 · 58 · 73 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1652250,-817448594] |
[a1,a2,a3,a4,a6] |
j |
1751714926919680/6084477 |
j-invariant |
L |
2.3969180212911 |
L(r)(E,1)/r! |
Ω |
0.13316212133444 |
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 |
38325e1 114975o1 |
Quadratic twists by: -3 5 |