Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920es |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-2260900171166515200 = -1 · 224 · 314 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164307,76750994] |
[a1,a2,a3,a4,a6] |
Generators |
[178:7290:1] |
Generators of the group modulo torsion |
j |
-164287467238609/757170892800 |
j-invariant |
L |
8.5097043384362 |
L(r)(E,1)/r! |
Ω |
0.22549687542203 |
Real period |
R |
2.3585981894073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490v1 38640br1 |
Quadratic twists by: -4 -3 |