Atkin-Lehner |
2- 3- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534bp |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
437397060672 = 26 · 37 · 11 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2030,15549] |
[a1,a2,a3,a4,a6] |
Generators |
[53:207:1] |
Generators of the group modulo torsion |
j |
1268480265625/599995968 |
j-invariant |
L |
12.569127082477 |
L(r)(E,1)/r! |
Ω |
0.83954217034269 |
Real period |
R |
0.62380860271007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178e1 |
Quadratic twists by: -3 |