Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596o |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
71285760 |
Modular degree for the optimal curve |
Δ |
-3.0778524023365E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-550980729,-9799327546047] |
[a1,a2,a3,a4,a6] |
Generators |
[118836300861150795:90433890932249968831:204857292375] |
Generators of the group modulo torsion |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
9.5477836852451 |
L(r)(E,1)/r! |
Ω |
0.014738196929645 |
Real period |
R |
26.992740164731 |
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 |
12844a1 8892j1 |
Quadratic twists by: -3 13 |