Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gb |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-7385804439552 = -1 · 222 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3873,-159039] |
[a1,a2,a3,a4,a6] |
j |
-500313625/574992 |
j-invariant |
L |
1.7381097353044 |
L(r)(E,1)/r! |
Ω |
0.28968493234099 |
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 |
103488cv1 25872cj1 103488hd1 |
Quadratic twists by: -4 8 -7 |