Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790ba |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19169280 |
Modular degree for the optimal curve |
Δ |
-1.2172809862899E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44010360,202017361216] |
[a1,a2,a3,a4,a6] |
Generators |
[-649:480227:1] |
Generators of the group modulo torsion |
j |
-37702212117675062365927/48682087219200000000 |
j-invariant |
L |
3.6400628054737 |
L(r)(E,1)/r! |
Ω |
0.064388111795448 |
Real period |
R |
7.0666437953873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cm1 83790cg1 |
Quadratic twists by: -3 -7 |