Atkin-Lehner |
2+ 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920n |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4476176640 = 28 · 38 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-780,-7488] |
[a1,a2,a3,a4,a6] |
j |
205269405136/17485065 |
j-invariant |
L |
3.6327827426606 |
L(r)(E,1)/r! |
Ω |
0.90819594815684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960h1 |
Quadratic twists by: -4 |