Atkin-Lehner |
2- 3+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864i |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23680 |
Modular degree for the optimal curve |
Δ |
-60567552 = -1 · 212 · 32 · 31 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,397] |
[a1,a2,a3,a4,a6] |
j |
-1404928/14787 |
j-invariant |
L |
3.3611764664442 |
L(r)(E,1)/r! |
Ω |
1.6805882588542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4929b1 |
Quadratic twists by: -4 |