Atkin-Lehner |
2+ 3+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178f |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-23399842752 = -1 · 26 · 32 · 11 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,176,-7232] |
[a1,a2,a3,a4,a6] |
Generators |
[19:49:1] |
Generators of the group modulo torsion |
j |
597585982967/23399842752 |
j-invariant |
L |
4.3933850340855 |
L(r)(E,1)/r! |
Ω |
0.57697939034104 |
Real period |
R |
1.2690762465216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534bq1 |
Quadratic twists by: -3 |