Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790et |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1070031848175360 = -1 · 28 · 39 · 5 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43448,3835451] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1297:1] |
Generators of the group modulo torsion |
j |
-105756712489/12476160 |
j-invariant |
L |
11.300706605097 |
L(r)(E,1)/r! |
Ω |
0.47718255314129 |
Real period |
R |
0.74006704361104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930bz1 1710r1 |
Quadratic twists by: -3 -7 |