Atkin-Lehner |
2+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152i |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-89168896 = -1 · 210 · 31 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 -4 -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,76,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[13:53:1] [133:1537:1] |
Generators of the group modulo torsion |
j |
47409408/87079 |
j-invariant |
L |
8.2069806059675 |
L(r)(E,1)/r! |
Ω |
1.0001890469275 |
Real period |
R |
4.102714696915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152m1 6572f1 |
Quadratic twists by: -4 8 |