Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790fe |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
15929727600874500 = 22 · 37 · 53 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8704247,9886451019] |
[a1,a2,a3,a4,a6] |
Generators |
[1607:6036:1] |
Generators of the group modulo torsion |
j |
2479176213198607/541500 |
j-invariant |
L |
11.8743991496 |
L(r)(E,1)/r! |
Ω |
0.31117992901421 |
Real period |
R |
1.5899696127452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930d1 83790ek1 |
Quadratic twists by: -3 -7 |