Atkin-Lehner |
2- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103700i |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
138960 |
Modular degree for the optimal curve |
Δ |
6481250000 = 24 · 58 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -1 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6833,219662] |
[a1,a2,a3,a4,a6] |
Generators |
[23816:8913:512] |
Generators of the group modulo torsion |
j |
5646008320/1037 |
j-invariant |
L |
8.8651295306536 |
L(r)(E,1)/r! |
Ω |
1.2962174404808 |
Real period |
R |
6.839230236659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103700f1 |
Quadratic twists by: 5 |