Atkin-Lehner |
3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49011c |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9151200 |
Modular degree for the optimal curve |
Δ |
-9.4264151814084E+22 |
Discriminant |
Eigenvalues |
1 3+ 2 5 -3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101144789,-391849206198] |
[a1,a2,a3,a4,a6] |
Generators |
[4604125202219019797314:164757755484447320593378:376822312375688171] |
Generators of the group modulo torsion |
j |
-139616683918873/115008417 |
j-invariant |
L |
7.9533583770902 |
L(r)(E,1)/r! |
Ω |
0.023801932903391 |
Real period |
R |
33.41475841215 |
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 |
49011f1 |
Quadratic twists by: -31 |