Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874j |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
145297152 |
Modular degree for the optimal curve |
Δ |
-3.4383975533304E+31 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1976671331,-284141600265835] |
[a1,a2,a3,a4,a6] |
Generators |
[8719313:25742107457:1] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
5.6332896818782 |
L(r)(E,1)/r! |
Ω |
0.0090360167144105 |
Real period |
R |
4.7229258557784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: 17 |