Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cy |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-1.3890610944E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-611105,-595961103] |
[a1,a2,a3,a4,a6] |
Generators |
[1329:29960:1] |
Generators of the group modulo torsion |
j |
-2215761453033409/12194775040000 |
j-invariant |
L |
9.6766800929201 |
L(r)(E,1)/r! |
Ω |
0.07671013259069 |
Real period |
R |
1.7520284481983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850c1 19530bb1 |
Quadratic twists by: -3 5 |