Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bk |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-297493585920 = -1 · 213 · 311 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,26242] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:162:1] |
Generators of the group modulo torsion |
j |
-1/99630 |
j-invariant |
L |
4.25467975933 |
L(r)(E,1)/r! |
Ω |
0.77192906418674 |
Real period |
R |
0.68896870786509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690e1 118080fn1 9840bb1 |
Quadratic twists by: -4 8 -3 |