Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192y |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
389007360 |
Modular degree for the optimal curve |
Δ |
-5.1290556618823E+32 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1187892837,-1089510474425526] |
[a1,a2,a3,a4,a6] |
j |
2299345653437864869440357/6361890234983207055392768 |
j-invariant |
L |
1.9604645137504 |
L(r)(E,1)/r! |
Ω |
0.0076580608682332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14274m1 114192w1 |
Quadratic twists by: -4 -3 |