Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-102307647750000 = -1 · 24 · 3 · 56 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10524,254098] |
[a1,a2,a3,a4,a6] |
j |
4657463/3696 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
5082r1 11550cg1 |
Quadratic twists by: 5 -11 |