Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
113220o |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
4585410000 = 24 · 36 · 54 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,29509] |
[a1,a2,a3,a4,a6] |
j |
56409309184/393125 |
j-invariant |
L |
2.7656647253605 |
L(r)(E,1)/r! |
Ω |
1.3828328327712 |
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 |
12580a1 |
Quadratic twists by: -3 |