Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
79184n |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
3041932544 = 28 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 2 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6337,-192051] |
[a1,a2,a3,a4,a6] |
Generators |
[47304:26019:512] |
Generators of the group modulo torsion |
j |
934577152/101 |
j-invariant |
L |
7.6414454034046 |
L(r)(E,1)/r! |
Ω |
0.53508864278368 |
Real period |
R |
7.140354687883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39592n1 1616b1 |
Quadratic twists by: -4 -7 |