Atkin-Lehner |
5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126175i |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
165673689453125 = 59 · 77 · 103 |
Discriminant |
Eigenvalues |
0 0 5- 7- -4 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24500,-1339844] |
[a1,a2,a3,a4,a6] |
j |
7077888/721 |
j-invariant |
L |
1.5364273351834 |
L(r)(E,1)/r! |
Ω |
0.38410713556698 |
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 |
126175f1 18025d1 |
Quadratic twists by: 5 -7 |