Atkin-Lehner |
2- 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560co |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-99255227904000 = -1 · 212 · 310 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6280,514100] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:390:1] [110:-1080:1] |
Generators of the group modulo torsion |
j |
-6688239997321/24232233375 |
j-invariant |
L |
14.010667106241 |
L(r)(E,1)/r! |
Ω |
0.52375731337176 |
Real period |
R |
0.4458383920479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035d1 |
Quadratic twists by: -4 |