Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85652m |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-2036843514186992 = -1 · 24 · 76 · 196 · 23 |
Discriminant |
Eigenvalues |
2- -3 2 7- -4 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149989,22463413] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-931:1] |
Generators of the group modulo torsion |
j |
-198241108860672/1082055263 |
j-invariant |
L |
3.9704322834055 |
L(r)(E,1)/r! |
Ω |
0.46789947865264 |
Real period |
R |
0.23571256355047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748e1 |
Quadratic twists by: -7 |