Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gs |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-994085604965376 = -1 · 210 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,1518441] |
[a1,a2,a3,a4,a6] |
j |
-12967168/8251551 |
j-invariant |
L |
0.79958486231416 |
L(r)(E,1)/r! |
Ω |
0.39979236505781 |
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 |
103488dm1 25872r1 14784cg1 |
Quadratic twists by: -4 8 -7 |