Atkin-Lehner |
2+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618b |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-1751596 = -1 · 22 · 7 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 11+ -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1250945,-538628400] |
[a1,a2,a3,a4,a6] |
Generators |
[1660:43439:1] |
Generators of the group modulo torsion |
j |
-162652148514673226963/1316 |
j-invariant |
L |
1.8684421153542 |
L(r)(E,1)/r! |
Ω |
0.071377288642926 |
Real period |
R |
6.5442459062308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618z1 |
Quadratic twists by: -11 |