Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cc |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13787136 |
Modular degree for the optimal curve |
Δ |
3.8216796136729E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51180461,140877594239] |
[a1,a2,a3,a4,a6] |
Generators |
[2508256274039355664:1234424435093837243255:10326052376576] |
Generators of the group modulo torsion |
j |
125024751633535937/32226562500 |
j-invariant |
L |
7.5083943250499 |
L(r)(E,1)/r! |
Ω |
0.13629053404582 |
Real period |
R |
27.545545847852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370dj1 |
Quadratic twists by: 17 |