Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
79424j |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-10660108828672 = -1 · 233 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 -2 5 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8684,-348848] |
[a1,a2,a3,a4,a6] |
Generators |
[328298679:1732841063:2685619] |
Generators of the group modulo torsion |
j |
-276276047697/40665088 |
j-invariant |
L |
7.3818022412019 |
L(r)(E,1)/r! |
Ω |
0.24528360482186 |
Real period |
R |
15.047484004551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79424c1 19856d1 |
Quadratic twists by: -4 8 |