Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800g |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-1036000000000 = -1 · 211 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2125,-31250] |
[a1,a2,a3,a4,a6] |
j |
265302/259 |
j-invariant |
L |
0.95447394274752 |
L(r)(E,1)/r! |
Ω |
0.47723697196198 |
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 |
103600p1 51800u1 |
Quadratic twists by: -4 5 |