Atkin-Lehner |
2+ 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954b |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
339456 |
Modular degree for the optimal curve |
Δ |
-134531243728896 = -1 · 213 · 3 · 77 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12323,-179843] |
[a1,a2,a3,a4,a6] |
Generators |
[118:529:8] [27:403:1] |
Generators of the group modulo torsion |
j |
1758853833911/1143496704 |
j-invariant |
L |
8.1931165807183 |
L(r)(E,1)/r! |
Ω |
0.3334678094579 |
Real period |
R |
3.071179717007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422n1 |
Quadratic twists by: -7 |