Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bj |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-50643999021660 = -1 · 22 · 3 · 5 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7652,226118] |
[a1,a2,a3,a4,a6] |
Generators |
[4269:60565:27] |
Generators of the group modulo torsion |
j |
2053225511/2098140 |
j-invariant |
L |
7.3669199863118 |
L(r)(E,1)/r! |
Ω |
0.41798730142885 |
Real period |
R |
4.4061864801859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610d1 |
Quadratic twists by: 17 |