Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536dr |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
2.7769618706154E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19821569,33950770815] |
[a1,a2,a3,a4,a6] |
Generators |
[2437:11172:1] |
Generators of the group modulo torsion |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
5.449876422414 |
L(r)(E,1)/r! |
Ω |
0.17021659645634 |
Real period |
R |
0.15246334980233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536d1 6384d1 76608fn1 |
Quadratic twists by: -4 8 -3 |