Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bb |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5541441595200000 = -1 · 29 · 312 · 55 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234495,-43794675] |
[a1,a2,a3,a4,a6] |
Generators |
[26242701:1171582278:12167] |
Generators of the group modulo torsion |
j |
-5703006497280247/22161600000 |
j-invariant |
L |
5.2046636898082 |
L(r)(E,1)/r! |
Ω |
0.1084513755575 |
Real period |
R |
11.997689433245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930dk1 83790ci1 |
Quadratic twists by: -3 -7 |