Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680v |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1124292960000 = -1 · 28 · 310 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,67142] |
[a1,a2,a3,a4,a6] |
Generators |
[22:162:1] |
Generators of the group modulo torsion |
j |
-7622072656/6024375 |
j-invariant |
L |
5.7037657828267 |
L(r)(E,1)/r! |
Ω |
0.79812887121285 |
Real period |
R |
1.7866055172984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840f1 28560y1 |
Quadratic twists by: -4 -3 |