Atkin-Lehner |
2+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264g |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-48111752479936 = -1 · 26 · 197 · 292 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9505,-485301] |
[a1,a2,a3,a4,a6] |
Generators |
[1747500954834:-1260002141793:14868788579] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
9.0247084814465 |
L(r)(E,1)/r! |
Ω |
0.23609894286135 |
Real period |
R |
19.112132337556 |
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 |
35264bh1 551c1 |
Quadratic twists by: -4 8 |