Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120h |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3678359040 = -1 · 29 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-2918] |
[a1,a2,a3,a4,a6] |
Generators |
[5222:8154:343] |
Generators of the group modulo torsion |
j |
-8/9855 |
j-invariant |
L |
7.7449567822872 |
L(r)(E,1)/r! |
Ω |
0.6414995286966 |
Real period |
R |
6.0366036456173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105120i1 35040r1 |
Quadratic twists by: -4 -3 |