Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cs |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-3.815944224768E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3596208,2786901588] |
[a1,a2,a3,a4,a6] |
Generators |
[1842:49152:1] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
5.7359898120574 |
L(r)(E,1)/r! |
Ω |
0.16612797161333 |
Real period |
R |
1.2331263483964 |
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 |
1950s1 62400fi1 46800fd1 15600y1 |
Quadratic twists by: -4 8 -3 5 |