Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968ba |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
10368171072 = 26 · 34 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22458,1287936] |
[a1,a2,a3,a4,a6] |
j |
166375000000/1377 |
j-invariant |
L |
4.6203851686056 |
L(r)(E,1)/r! |
Ω |
1.1550963043995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968bs1 1632a1 |
Quadratic twists by: -4 -7 |