Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300f |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-163268000000 = -1 · 28 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 1 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8575,-306250] |
[a1,a2,a3,a4,a6] |
Generators |
[620550:17993150:729] |
Generators of the group modulo torsion |
j |
-7260624/17 |
j-invariant |
L |
12.344872106483 |
L(r)(E,1)/r! |
Ω |
0.24802765414853 |
Real period |
R |
8.2953600150836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3332c1 83300q1 |
Quadratic twists by: 5 -7 |