Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570ce |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
22976849700 = 22 · 32 · 52 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5440,151997] |
[a1,a2,a3,a4,a6] |
j |
151334226289/195300 |
j-invariant |
L |
4.7990688751625 |
L(r)(E,1)/r! |
Ω |
1.1997672188387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510w1 |
Quadratic twists by: -7 |