Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290by |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
27002164556250000 = 24 · 38 · 58 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145967,19992359] |
[a1,a2,a3,a4,a6] |
Generators |
[297:1516:1] |
Generators of the group modulo torsion |
j |
471799461853344169/37040006250000 |
j-invariant |
L |
9.1099400385691 |
L(r)(E,1)/r! |
Ω |
0.36686971871133 |
Real period |
R |
0.25866187339845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430q1 |
Quadratic twists by: -3 |