Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675m |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-218462109075 = -1 · 316 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -2 2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2595,-55629] |
[a1,a2,a3,a4,a6] |
j |
-106039644160/11986947 |
j-invariant |
L |
5.3174110037445 |
L(r)(E,1)/r! |
Ω |
0.33233818775519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225s1 45675bj1 |
Quadratic twists by: -3 5 |