Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968o |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-2.4213243741513E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5230979,5901123733] |
[a1,a2,a3,a4,a6] |
j |
13681452614144/20927272323 |
j-invariant |
L |
2.9312919141366 |
L(r)(E,1)/r! |
Ω |
0.081424776249971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968cr1 79968v1 |
Quadratic twists by: -4 -7 |