Atkin-Lehner |
2+ 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350z |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-761978880000 = -1 · 216 · 33 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,974,-40252] |
[a1,a2,a3,a4,a6] |
j |
163742482775/1219166208 |
j-invariant |
L |
2.6801291066462 |
L(r)(E,1)/r! |
Ω |
0.44668820991371 |
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 |
103350bi1 |
Quadratic twists by: 5 |