Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600p |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116480 |
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] |
Generators |
[125:1500:1] |
Generators of the group modulo torsion |
j |
265302/259 |
j-invariant |
L |
6.4991265232876 |
L(r)(E,1)/r! |
Ω |
0.57566693342041 |
Real period |
R |
1.4112167483405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999692546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800g1 103600u1 |
Quadratic twists by: -4 5 |