Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
7110c |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-8532000 = -1 · 25 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51,5] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
537367797/316000 |
j-invariant |
L |
3.4931985352728 |
L(r)(E,1)/r! |
Ω |
1.4104860977222 |
Real period |
R |
0.41276532737117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56880u1 7110o1 35550bc1 |
Quadratic twists by: -4 -3 5 |