Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400cs |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-2054105459239680000 = -1 · 211 · 311 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1019408,-402456012] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:23886:1] |
Generators of the group modulo torsion |
j |
-91528907990864450/1604769890031 |
j-invariant |
L |
8.3600300213883 |
L(r)(E,1)/r! |
Ω |
0.075046533152787 |
Real period |
R |
5.0635432304639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200cj1 92400r1 |
Quadratic twists by: -4 5 |