Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880p |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3633750739491840 = -1 · 210 · 35 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35904,1258884] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:198:1] [0:1122:1] |
Generators of the group modulo torsion |
j |
4998505394665724/3548584706535 |
j-invariant |
L |
10.009900693346 |
L(r)(E,1)/r! |
Ω |
0.28128590479191 |
Real period |
R |
0.59310358386375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440d1 |
Quadratic twists by: -4 |