Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618o |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-92809678553284 = -1 · 22 · 72 · 118 · 472 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4354,-448312] |
[a1,a2,a3,a4,a6] |
Generators |
[292:4936:1] |
Generators of the group modulo torsion |
j |
42568823/432964 |
j-invariant |
L |
9.4182872841245 |
L(r)(E,1)/r! |
Ω |
0.29696506053796 |
Real period |
R |
1.3214640002345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618u1 |
Quadratic twists by: -11 |