Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886c |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-179648360359776 = -1 · 25 · 39 · 7 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74417,7809333] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:3605:1] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
3.7740294128632 |
L(r)(E,1)/r! |
Ω |
0.572476604538 |
Real period |
R |
3.2962303086306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998493468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966h1 |
Quadratic twists by: -11 |