Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cu |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
180504619120838628 = 22 · 39 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294597,-57977375] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:1775:1] [-256:911:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
8.8257806820138 |
L(r)(E,1)/r! |
Ω |
0.20574415015921 |
Real period |
R |
2.6810545637971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574by1 2178c1 9702ca1 |
Quadratic twists by: -3 -7 -11 |