Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800t |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1343232 |
Modular degree for the optimal curve |
Δ |
-2286284046593750000 = -1 · 24 · 59 · 711 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 4 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15425,-72744625] |
[a1,a2,a3,a4,a6] |
j |
1623525901056/9145136186375 |
j-invariant |
L |
5.2776054919455 |
L(r)(E,1)/r! |
Ω |
0.11994557937235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600k1 10360a1 |
Quadratic twists by: -4 5 |