Atkin-Lehner |
2+ 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350m |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1430827008000 = -1 · 215 · 3 · 53 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10295,-410475] |
[a1,a2,a3,a4,a6] |
j |
-965514197662253/11446616064 |
j-invariant |
L |
1.4208629688765 |
L(r)(E,1)/r! |
Ω |
0.23681044037581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350ch1 |
Quadratic twists by: 5 |