Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600cd |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-871756770304000 = -1 · 213 · 53 · 75 · 373 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29315,-2397950] |
[a1,a2,a3,a4,a6] |
Generators |
[255:2590:1] |
Generators of the group modulo torsion |
j |
-5441560307469/1702649942 |
j-invariant |
L |
4.5328363223662 |
L(r)(E,1)/r! |
Ω |
0.17955634261976 |
Real period |
R |
0.42074410222163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950g1 103600bt1 |
Quadratic twists by: -4 5 |