Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350h |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
1165971200 = 28 · 52 · 23 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -1 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1385,19205] |
[a1,a2,a3,a4,a6] |
Generators |
[1:133:1] |
Generators of the group modulo torsion |
j |
11765838549505/46638848 |
j-invariant |
L |
7.4842469298498 |
L(r)(E,1)/r! |
Ω |
1.5490910714691 |
Real period |
R |
1.207844887819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350ba1 |
Quadratic twists by: 5 |