Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bs |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-3476533474721744640 = -1 · 28 · 311 · 5 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-837909,308756853] |
[a1,a2,a3,a4,a6] |
j |
-758575480593601/40535043840 |
j-invariant |
L |
1.9779801836159 |
L(r)(E,1)/r! |
Ω |
0.24724752099448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cw1 1710g1 |
Quadratic twists by: -3 -7 |