Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cn |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
10644001016060160 = 28 · 312 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4456314,3621971380] |
[a1,a2,a3,a4,a6] |
Generators |
[2309:73937:1] |
Generators of the group modulo torsion |
j |
114113060120923921/124104960 |
j-invariant |
L |
4.2711943448992 |
L(r)(E,1)/r! |
Ω |
0.34132751392694 |
Real period |
R |
6.2567390129978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cg1 11970r1 |
Quadratic twists by: -3 -7 |