Atkin-Lehner |
2- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97552h |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1964799495766016 = -1 · 227 · 75 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4339,2135474] |
[a1,a2,a3,a4,a6] |
Generators |
[3315:50176:27] |
Generators of the group modulo torsion |
j |
-2205630275913/479687376896 |
j-invariant |
L |
10.244868547674 |
L(r)(E,1)/r! |
Ω |
0.38071064362265 |
Real period |
R |
1.3454927895442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194b1 |
Quadratic twists by: -4 |