Atkin-Lehner |
3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075n |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
8985515625 = 33 · 56 · 192 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-988,10967] |
[a1,a2,a3,a4,a6] |
Generators |
[41:179:1] |
Generators of the group modulo torsion |
j |
6826561273/575073 |
j-invariant |
L |
5.9456916881737 |
L(r)(E,1)/r! |
Ω |
1.2692783104187 |
Real period |
R |
1.5614363010557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363b1 |
Quadratic twists by: 5 |