Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200h |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2060000000 = -1 · 28 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,2188] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] [18:100:1] |
Generators of the group modulo torsion |
j |
21296/515 |
j-invariant |
L |
9.8101245612214 |
L(r)(E,1)/r! |
Ω |
1.1027610923879 |
Real period |
R |
1.1119956794063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600a1 8240a1 |
Quadratic twists by: -4 5 |