Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bi |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1507379625000000 = 26 · 34 · 59 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-502459958,-4335279270912] |
[a1,a2,a3,a4,a6] |
Generators |
[-1170751123349397815771856659511061456695707986408556:7446204001438536726824362338207126424846920879:90461375816064051428227211721320301209959650112] |
Generators of the group modulo torsion |
j |
112232354272851345684416/12059037 |
j-invariant |
L |
9.4410264841299 |
L(r)(E,1)/r! |
Ω |
0.031887773031609 |
Real period |
R |
74.01760601393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200n1 127200ct1 |
Quadratic twists by: -4 5 |