Atkin-Lehner |
2+ 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360b |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
49757600000 = 28 · 55 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38596,-2931396] |
[a1,a2,a3,a4,a6] |
Generators |
[255:1968:1] [847:23932:1] |
Generators of the group modulo torsion |
j |
24838301374625104/194365625 |
j-invariant |
L |
8.6230356610656 |
L(r)(E,1)/r! |
Ω |
0.34061458978348 |
Real period |
R |
25.31610776489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60680d1 |
Quadratic twists by: -4 |