Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790da |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1149336034560 = -1 · 28 · 39 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2563,-13499] |
[a1,a2,a3,a4,a6] |
Generators |
[55:512:1] |
Generators of the group modulo torsion |
j |
39413493/24320 |
j-invariant |
L |
12.27374008402 |
L(r)(E,1)/r! |
Ω |
0.50152969406582 |
Real period |
R |
1.5295380600073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790a1 83790cy1 |
Quadratic twists by: -3 -7 |