Atkin-Lehner |
3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92781d |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-17465610467331 = -1 · 33 · 139 · 61 |
Discriminant |
Eigenvalues |
2 3+ -3 -1 -2 13+ -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-272259,54679485] |
[a1,a2,a3,a4,a6] |
Generators |
[2626:6587:8] |
Generators of the group modulo torsion |
j |
-17125630488576/134017 |
j-invariant |
L |
7.1040926207383 |
L(r)(E,1)/r! |
Ω |
0.62090108477518 |
Real period |
R |
2.8603962799012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92781f1 7137d1 |
Quadratic twists by: -3 13 |