Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952bd |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
6.3502468596586E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148504251,696555593818] |
[a1,a2,a3,a4,a6] |
Generators |
[954662657985:911239717018:136590875] |
Generators of the group modulo torsion |
j |
1717641340122148/3011499 |
j-invariant |
L |
10.22802886465 |
L(r)(E,1)/r! |
Ω |
0.13877583595268 |
Real period |
R |
18.425449925117 |
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 |
59976bl1 39984bb1 119952r1 |
Quadratic twists by: -4 -3 -7 |