Atkin-Lehner |
3+ 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807h |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
8104984200621 = 36 · 76 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5259,54578] |
[a1,a2,a3,a4,a6] |
Generators |
[84:445:1] |
Generators of the group modulo torsion |
j |
136750071808/68891229 |
j-invariant |
L |
5.6146754694783 |
L(r)(E,1)/r! |
Ω |
0.65243373015838 |
Real period |
R |
1.4342901066257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343g1 |
Quadratic twists by: -7 |