Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1911b |
Isogeny class |
Conductor |
1911 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-8719893 = -1 · 34 · 72 · 133 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- -5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20,146] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
1.1269310827103 |
L(r)(E,1)/r! |
Ω |
1.7030611224867 |
Real period |
R |
0.11028485392477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576dg1 122304dw1 5733j1 47775cg1 |
Quadratic twists by: -4 8 -3 5 |