Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280t |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-41543750000 = -1 · 24 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 4 4 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-550,-11177] |
[a1,a2,a3,a4,a6] |
Generators |
[378:2125:8] |
Generators of the group modulo torsion |
j |
-1152076147456/2596484375 |
j-invariant |
L |
8.1894060292083 |
L(r)(E,1)/r! |
Ω |
0.46096963252089 |
Real period |
R |
1.1103505322605 |
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 |
7820e1 125120bl1 |
Quadratic twists by: -4 8 |