Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872p |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5713920 |
Modular degree for the optimal curve |
Δ |
1.0148893039447E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12163365,5627633868] |
[a1,a2,a3,a4,a6] |
Generators |
[355359:39362752:27] |
Generators of the group modulo torsion |
j |
157984203003904584000/80565185053782011 |
j-invariant |
L |
8.0225127891341 |
L(r)(E,1)/r! |
Ω |
0.093801776240476 |
Real period |
R |
8.5526235345885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872a1 91872c1 |
Quadratic twists by: -4 -3 |