Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400q |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
25022800000000 = 210 · 58 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 11- 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278875,56683750] |
[a1,a2,a3,a4,a6] |
Generators |
[375:-2200:1] |
Generators of the group modulo torsion |
j |
5996425891140/62557 |
j-invariant |
L |
3.6418826176063 |
L(r)(E,1)/r! |
Ω |
0.60767857934657 |
Real period |
R |
0.33295037836072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bk1 |
Quadratic twists by: 5 |