Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85312s |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
41976233984 = 215 · 313 · 43 |
Discriminant |
Eigenvalues |
2- -2 -3 0 5 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39457,-3029889] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:4:1] |
Generators of the group modulo torsion |
j |
207327527926856/1281013 |
j-invariant |
L |
2.4502849509366 |
L(r)(E,1)/r! |
Ω |
0.33874101381881 |
Real period |
R |
1.8083763487117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312t1 42656a1 |
Quadratic twists by: -4 8 |