Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790eo |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1676813431671000 = -1 · 23 · 37 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23603,2420331] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2970:1] |
Generators of the group modulo torsion |
j |
-49430863/57000 |
j-invariant |
L |
9.4889316935546 |
L(r)(E,1)/r! |
Ω |
0.4287060009269 |
Real period |
R |
0.92224543877661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930w1 83790fh1 |
Quadratic twists by: -3 -7 |