Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790fg |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-106395678627840 = -1 · 211 · 313 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1723,-495939] |
[a1,a2,a3,a4,a6] |
Generators |
[359:6624:1] |
Generators of the group modulo torsion |
j |
2263571297/425502720 |
j-invariant |
L |
12.577733765068 |
L(r)(E,1)/r! |
Ω |
0.28065077078576 |
Real period |
R |
0.50927632357228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930f1 83790en1 |
Quadratic twists by: -3 -7 |