Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850da |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
17385984000000000 = 218 · 32 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-448201,115281548] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:15386:1] |
Generators of the group modulo torsion |
j |
14863347230003/25952256 |
j-invariant |
L |
5.9603067895469 |
L(r)(E,1)/r! |
Ω |
0.38934758060823 |
Real period |
R |
3.8271117426068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850fd1 80850bh1 |
Quadratic twists by: 5 -7 |