Atkin-Lehner |
2- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360t |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-675305260000000 = -1 · 28 · 57 · 77 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41225,3442123] |
[a1,a2,a3,a4,a6] |
Generators |
[121:490:1] [-159:2450:1] |
Generators of the group modulo torsion |
j |
-257269341184/22421875 |
j-invariant |
L |
7.7680728482411 |
L(r)(E,1)/r! |
Ω |
0.49926769956579 |
Real period |
R |
0.27783809507003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11480e1 |
Quadratic twists by: -7 |