Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5908266657562500 = 22 · 32 · 56 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49976,2190098] |
[a1,a2,a3,a4,a6] |
j |
498677257/213444 |
j-invariant |
L |
3.0746915447684 |
L(r)(E,1)/r! |
Ω |
0.38433646542744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5082r2 11550cg2 |
Quadratic twists by: 5 -11 |