Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430z |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5040000 |
Modular degree for the optimal curve |
Δ |
-7.8620483953567E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1102131,1420192753] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:40262:1] |
Generators of the group modulo torsion |
j |
-83573247837920329/443792135600000 |
j-invariant |
L |
6.6094975309497 |
L(r)(E,1)/r! |
Ω |
0.13796013278174 |
Real period |
R |
1.7110267914271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130a1 |
Quadratic twists by: -11 |