Atkin-Lehner |
2+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
102200a |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-14921200 = -1 · 24 · 52 · 7 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,917] |
[a1,a2,a3,a4,a6] |
Generators |
[38:219:1] |
Generators of the group modulo torsion |
j |
-1318785280/37303 |
j-invariant |
L |
10.146503307515 |
L(r)(E,1)/r! |
Ω |
2.2099716380035 |
Real period |
R |
1.1478092230521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200ba1 |
Quadratic twists by: 5 |