Atkin-Lehner |
5- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83545i |
Isogeny class |
Conductor |
83545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
70272 |
Modular degree for the optimal curve |
Δ |
-86178756125 = -1 · 53 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
1 1 5- 7- 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4338,-111219] |
[a1,a2,a3,a4,a6] |
j |
-184184192047849/1758750125 |
j-invariant |
L |
3.5277117399313 |
L(r)(E,1)/r! |
Ω |
0.29397597191176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83545a1 |
Quadratic twists by: -7 |