Atkin-Lehner |
3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475i |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
112886525390625 = 33 · 59 · 73 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20825,1029000] |
[a1,a2,a3,a4,a6] |
j |
511424215973/57797901 |
j-invariant |
L |
2.293062316287 |
L(r)(E,1)/r! |
Ω |
0.57326557906455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425t1 41475t1 |
Quadratic twists by: -3 5 |