Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450ba |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
120050000000 = 27 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -2 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2680,-50053] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:65:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
4.3837404823508 |
L(r)(E,1)/r! |
Ω |
0.66589236665648 |
Real period |
R |
0.31348842129962 |
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 |
19600dd1 78400dm1 22050bz1 2450a1 |
Quadratic twists by: -4 8 -3 5 |