Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050r |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-3803572080000000000 = -1 · 213 · 36 · 510 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 7 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-936575,360877125] |
[a1,a2,a3,a4,a6] |
j |
-6989949220475/292626432 |
j-invariant |
L |
1.9709410095461 |
L(r)(E,1)/r! |
Ω |
0.24636767546278 |
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 |
127050im1 127050ey1 |
Quadratic twists by: 5 -11 |