Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190f |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-4.6089182426939E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121936663,519239706517] |
[a1,a2,a3,a4,a6] |
Generators |
[11983998:275759405:2197] |
Generators of the group modulo torsion |
j |
-113180217375258301213009/260161419375000000 |
j-invariant |
L |
2.8588393590613 |
L(r)(E,1)/r! |
Ω |
0.093878214330925 |
Real period |
R |
7.6131597182801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290s1 |
Quadratic twists by: -11 |