Atkin-Lehner |
5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135s |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
874944 |
Modular degree for the optimal curve |
Δ |
332687249453125 = 57 · 74 · 173 · 192 |
Discriminant |
Eigenvalues |
-2 -3 5- 7+ 0 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28567,1638180] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:212:1] [-42:1662:1] |
Generators of the group modulo torsion |
j |
1073805085495296/138561953125 |
j-invariant |
L |
3.5147083063902 |
L(r)(E,1)/r! |
Ω |
0.52166495482089 |
Real period |
R |
0.05347208032114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135h1 |
Quadratic twists by: -7 |