Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350y |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-133062952222720000 = -1 · 228 · 54 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -1 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63280,18604947] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:5025:1] |
Generators of the group modulo torsion |
j |
-44837012950761825/212900723556352 |
j-invariant |
L |
6.9793194626789 |
L(r)(E,1)/r! |
Ω |
0.28530854569409 |
Real period |
R |
0.048536422360064 |
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 |
98800cv1 111150cp1 12350b1 |
Quadratic twists by: -4 -3 5 |