Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950cx |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-51483346875000 = -1 · 23 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,-372553] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2095:1] |
Generators of the group modulo torsion |
j |
-53969305/180792 |
j-invariant |
L |
6.9922264622994 |
L(r)(E,1)/r! |
Ω |
0.25884665960212 |
Real period |
R |
2.2510838633985 |
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 |
111600fs1 4650v1 13950u1 |
Quadratic twists by: -4 -3 5 |