Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2190f |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
10776442500 = 22 · 310 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1113,13288] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:150:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
2.7154273215671 |
L(r)(E,1)/r! |
Ω |
1.2555713777237 |
Real period |
R |
0.10813512356781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17520n1 70080d1 6570s1 10950w1 |
Quadratic twists by: -4 8 -3 5 |