Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376k |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11431680 |
Modular degree for the optimal curve |
Δ |
-1.2632132007826E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -1 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16590803,-47413935995] |
[a1,a2,a3,a4,a6] |
Generators |
[506747299:11407412951460:1] |
Generators of the group modulo torsion |
j |
2516343223039433113088/6293911435659608571 |
j-invariant |
L |
7.4054055281609 |
L(r)(E,1)/r! |
Ω |
0.044452881775617 |
Real period |
R |
8.329499947316 |
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 |
89376r1 89376m1 |
Quadratic twists by: -4 -7 |