Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bm |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
4188537697075200000 = 223 · 38 · 55 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-453360,-63950400] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:4050:1] [-280:6400:1] |
Generators of the group modulo torsion |
j |
2515905479569411441/1022592211200000 |
j-invariant |
L |
10.663238025116 |
L(r)(E,1)/r! |
Ω |
0.19063165387318 |
Real period |
R |
1.3984086334448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bk1 |
Quadratic twists by: -4 |