Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bn |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
68578125 = 3 · 56 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-133,394] |
[a1,a2,a3,a4,a6] |
Generators |
[26:17:8] |
Generators of the group modulo torsion |
j |
16777216/4389 |
j-invariant |
L |
6.6811291305359 |
L(r)(E,1)/r! |
Ω |
1.8258534659611 |
Real period |
R |
3.6591814609547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999662798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389b1 |
Quadratic twists by: 5 |