Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850bi |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
26149558050000000 = 27 · 36 · 58 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92950,-7683500] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1738:1] [-165:1870:1] |
Generators of the group modulo torsion |
j |
4640054485465/1366180992 |
j-invariant |
L |
7.1723564681715 |
L(r)(E,1)/r! |
Ω |
0.27961032203128 |
Real period |
R |
1.0688024104651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850gj1 80850cv1 |
Quadratic twists by: 5 -7 |