Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bz |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
3735630014054400 = 226 · 35 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96520,-11201143] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:381:1] |
Generators of the group modulo torsion |
j |
99443392789527319681/3735630014054400 |
j-invariant |
L |
7.2571654725979 |
L(r)(E,1)/r! |
Ω |
0.27148648513466 |
Real period |
R |
1.0281239186091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bc1 |
Quadratic twists by: -3 |