Atkin-Lehner |
2+ 3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350c |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-881503155000000000 = -1 · 29 · 39 · 510 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-540950,159436500] |
[a1,a2,a3,a4,a6] |
j |
-1792653273840625/90265923072 |
j-invariant |
L |
0.55495538568914 |
L(r)(E,1)/r! |
Ω |
0.27747780203564 |
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 |
103350ck1 |
Quadratic twists by: 5 |