Atkin-Lehner |
2+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226c |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-169739406824354752 = -1 · 26 · 79 · 114 · 672 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43340,-19497456] |
[a1,a2,a3,a4,a6] |
Generators |
[47058:103235:216] |
Generators of the group modulo torsion |
j |
223096324625/4206300736 |
j-invariant |
L |
7.2035659664864 |
L(r)(E,1)/r! |
Ω |
0.15666783631095 |
Real period |
R |
5.7474831266843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72226d1 |
Quadratic twists by: -7 |