Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240q |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-23632686403480000 = -1 · 26 · 54 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43790,6486600] |
[a1,a2,a3,a4,a6] |
j |
3595640768/9150625 |
j-invariant |
L |
4.2453516471367 |
L(r)(E,1)/r! |
Ω |
0.26533447676685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240bw1 86240k1 |
Quadratic twists by: -4 -7 |