Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12410f |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
3375520 = 25 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 3 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:11:1] |
Generators of the group modulo torsion |
j |
5841725401/3375520 |
j-invariant |
L |
2.7891202965116 |
L(r)(E,1)/r! |
Ω |
2.1082210683432 |
Real period |
R |
0.66148667670406 |
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 |
99280z1 111690bi1 62050u1 |
Quadratic twists by: -4 -3 5 |