Atkin-Lehner |
2+ 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bg |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
4431463667678268000 = 25 · 310 · 53 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2884158,-1882800944] |
[a1,a2,a3,a4,a6] |
Generators |
[-1000:1767:1] |
Generators of the group modulo torsion |
j |
3252623698261561/5432508000 |
j-invariant |
L |
5.9346465038182 |
L(r)(E,1)/r! |
Ω |
0.11586129492053 |
Real period |
R |
0.56913325847392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610ch1 |
Quadratic twists by: 13 |