Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ct |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2003339520 = 28 · 33 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436,2624] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:78:1] |
Generators of the group modulo torsion |
j |
104627248/22815 |
j-invariant |
L |
7.2315202143327 |
L(r)(E,1)/r! |
Ω |
1.3911090417451 |
Real period |
R |
0.43319874043755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440cb1 |
Quadratic twists by: -7 |