Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184w |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-170296777300815872 = -1 · 212 · 79 · 1013 |
Discriminant |
Eigenvalues |
2- 3 0 7- 2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135485,5075714] |
[a1,a2,a3,a4,a6] |
Generators |
[31611:1135448:27] |
Generators of the group modulo torsion |
j |
1664006625/1030301 |
j-invariant |
L |
12.793310363157 |
L(r)(E,1)/r! |
Ω |
0.19895291078924 |
Real period |
R |
8.0379009724627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949b1 79184bf1 |
Quadratic twists by: -4 -7 |