Atkin-Lehner |
5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126175k |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2926080 |
Modular degree for the optimal curve |
Δ |
1757632171408203125 = 59 · 77 · 1033 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- 0 -5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-598208,166070244] |
[a1,a2,a3,a4,a6] |
Generators |
[633:-6438:1] [177:8109:1] |
Generators of the group modulo torsion |
j |
103029788672/7649089 |
j-invariant |
L |
4.0719820691141 |
L(r)(E,1)/r! |
Ω |
0.25940434080743 |
Real period |
R |
0.65405967783458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126175h1 18025f1 |
Quadratic twists by: 5 -7 |