Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bk |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1408000 |
Modular degree for the optimal curve |
Δ |
-1803854685937500000 = -1 · 25 · 311 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,266670,-37028300] |
[a1,a2,a3,a4,a6] |
j |
8387328063906233/7214062500000 |
j-invariant |
L |
1.1658323848265 |
L(r)(E,1)/r! |
Ω |
0.14572905240974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930cs1 83790bu1 |
Quadratic twists by: -3 -7 |