Atkin-Lehner |
2+ 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954x |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-11267609912496 = -1 · 24 · 37 · 77 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7915,314822] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:344:1] [46:-244:1] |
Generators of the group modulo torsion |
j |
-466025146777/95773104 |
j-invariant |
L |
8.8109578502719 |
L(r)(E,1)/r! |
Ω |
0.68731946030009 |
Real period |
R |
0.22891616230297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422c1 |
Quadratic twists by: -7 |