Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bh |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
1200325000000 = 26 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124958,17043412] |
[a1,a2,a3,a4,a6] |
Generators |
[111:2128:1] [168:874:1] |
Generators of the group modulo torsion |
j |
8631362879680/48013 |
j-invariant |
L |
9.9926434495034 |
L(r)(E,1)/r! |
Ω |
0.76815081205469 |
Real period |
R |
2.1681166622752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400cg1 106400br1 |
Quadratic twists by: -4 5 |