Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504z |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
6.7295791025145E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2424497752,44221123940372] |
[a1,a2,a3,a4,a6] |
j |
384794735475351420006613445593/16429636480748252244738048 |
j-invariant |
L |
2.8922284998599 |
L(r)(E,1)/r! |
Ω |
0.034431291664999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938b1 62016bw1 46512bp1 |
Quadratic twists by: -4 8 -3 |