Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090r |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-191099623680 = -1 · 28 · 33 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,366,-20828] |
[a1,a2,a3,a4,a6] |
Generators |
[29:105:1] |
Generators of the group modulo torsion |
j |
46268279/1624320 |
j-invariant |
L |
5.2069288154688 |
L(r)(E,1)/r! |
Ω |
0.48517639329785 |
Real period |
R |
1.7886720813806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410d1 |
Quadratic twists by: -7 |