Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864l |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-8857757737813777408 = -1 · 210 · 79 · 118 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,503965,-39261838] |
[a1,a2,a3,a4,a6] |
Generators |
[133:5488:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
4.6521315005381 |
L(r)(E,1)/r! |
Ω |
0.13332937570286 |
Real period |
R |
2.1807513643523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47432t1 13552b1 8624e1 |
Quadratic twists by: -4 -7 -11 |