Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600cg |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-1633947524395200 = -1 · 26 · 311 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2858,-1946652] |
[a1,a2,a3,a4,a6] |
j |
-280000/177147 |
j-invariant |
L |
4.6923859413526 |
L(r)(E,1)/r! |
Ω |
0.2132902943338 |
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 |
117600e1 117600fm1 117600t1 |
Quadratic twists by: -4 5 -7 |