Atkin-Lehner |
5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555c |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-100555 = -1 · 5 · 7 · 132 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
425984/595 |
j-invariant |
L |
2.3361229341095 |
L(r)(E,1)/r! |
Ω |
1.7876536048288 |
Real period |
R |
1.3068096283971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555n1 |
Quadratic twists by: 13 |