Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280q |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
175616 |
Modular degree for the optimal curve |
Δ |
-1391281920000 = -1 · 211 · 37 · 54 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,840,-55692] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-540:1] |
Generators of the group modulo torsion |
j |
31967928718/679336875 |
j-invariant |
L |
10.940727663131 |
L(r)(E,1)/r! |
Ω |
0.41480325022126 |
Real period |
R |
0.23549735669919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999430283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640e1 |
Quadratic twists by: -4 |