Atkin-Lehner |
3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123969a |
Isogeny class |
Conductor |
123969 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1196284849197201 = 36 · 316 · 432 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28369,771400] |
[a1,a2,a3,a4,a6] |
Generators |
[396213813158950:19362926544520279:161878625000] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
9.375924016894 |
L(r)(E,1)/r! |
Ω |
0.43405160327093 |
Real period |
R |
21.600943466908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998644591 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129b1 |
Quadratic twists by: -31 |