Atkin-Lehner |
2+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150f |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
195372800 = 28 · 52 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-311,-2022] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:-4:1] [-82:121:8] |
Generators of the group modulo torsion |
j |
132451210705/7814912 |
j-invariant |
L |
4.6314571922464 |
L(r)(E,1)/r! |
Ω |
1.1414981336194 |
Real period |
R |
0.67622496200996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31150ba1 |
Quadratic twists by: 5 |