Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954ck |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
3803904 |
Modular degree for the optimal curve |
Δ |
-5087328701289332736 = -1 · 239 · 3 · 73 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197415,113632329] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:10757:1] |
Generators of the group modulo torsion |
j |
-2480676737722759927/14831862102884352 |
j-invariant |
L |
16.755334620532 |
L(r)(E,1)/r! |
Ω |
0.20934441604481 |
Real period |
R |
0.5130587822518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954bx1 |
Quadratic twists by: -7 |