Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410cj |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1457505674240 = 210 · 5 · 73 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4180,-86640] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:152:1] |
Generators of the group modulo torsion |
j |
23548591230247/4249287680 |
j-invariant |
L |
7.4214597368994 |
L(r)(E,1)/r! |
Ω |
0.60111921551488 |
Real period |
R |
0.41153565721966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102410bg1 |
Quadratic twists by: -7 |