Atkin-Lehner |
2+ 3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950u |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16896000 |
Modular degree for the optimal curve |
Δ |
7.9029321354857E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59266700,170303281500] |
[a1,a2,a3,a4,a6] |
Generators |
[9191:629513:1] |
Generators of the group modulo torsion |
j |
11787614466170294350997/404630125336867284 |
j-invariant |
L |
3.0184505410122 |
L(r)(E,1)/r! |
Ω |
0.088982058532655 |
Real period |
R |
4.2402516162454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73950dd1 |
Quadratic twists by: 5 |