Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850bs |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1831044917625000000 = 26 · 3 · 59 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-438575,90697125] |
[a1,a2,a3,a4,a6] |
j |
118370771/23232 |
j-invariant |
L |
1.0017517590111 |
L(r)(E,1)/r! |
Ω |
0.25043793008396 |
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 |
80850hn1 80850dj1 |
Quadratic twists by: 5 -7 |