Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300g |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-8575141487500000000 = -1 · 28 · 511 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10770200,13605266500] |
[a1,a2,a3,a4,a6] |
Generators |
[2940:85750:1] |
Generators of the group modulo torsion |
j |
-855958413312/53125 |
j-invariant |
L |
5.5560508617512 |
L(r)(E,1)/r! |
Ω |
0.22011153853452 |
Real period |
R |
2.1034982579533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660b1 83300s1 |
Quadratic twists by: 5 -7 |