Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560cf |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
121600 |
Modular degree for the optimal curve |
Δ |
-69185679360 = -1 · 212 · 3 · 5 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1541,-27021] |
[a1,a2,a3,a4,a6] |
Generators |
[13820695249146:52516861560279:263005101143] |
Generators of the group modulo torsion |
j |
-98867482624/16891035 |
j-invariant |
L |
8.2524939901527 |
L(r)(E,1)/r! |
Ω |
0.37744983842969 |
Real period |
R |
21.863816459654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7035c1 |
Quadratic twists by: -4 |