Atkin-Lehner |
5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126175g |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1514730875 = -1 · 53 · 76 · 103 |
Discriminant |
Eigenvalues |
-1 1 5- 7- -2 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,97,-1828] |
[a1,a2,a3,a4,a6] |
Generators |
[11:19:1] |
Generators of the group modulo torsion |
j |
6859/103 |
j-invariant |
L |
3.1932246524966 |
L(r)(E,1)/r! |
Ω |
0.73754567510526 |
Real period |
R |
1.0823819671864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000305821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126175j1 2575b1 |
Quadratic twists by: 5 -7 |