Atkin-Lehner |
5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79135d |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-255610267499825 = -1 · 52 · 78 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ 3 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139651,20043498] |
[a1,a2,a3,a4,a6] |
Generators |
[216:14:1] [227:209:1] |
Generators of the group modulo torsion |
j |
-52248248472049/44339825 |
j-invariant |
L |
5.4463109119888 |
L(r)(E,1)/r! |
Ω |
0.54948007745068 |
Real period |
R |
0.27532647756893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135x1 |
Quadratic twists by: -7 |