Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ef |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2985937500000 = -1 · 25 · 3 · 511 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6501,217648] |
[a1,a2,a3,a4,a6] |
Generators |
[82:446:1] |
Generators of the group modulo torsion |
j |
-39678209809/3900000 |
j-invariant |
L |
4.4669625408493 |
L(r)(E,1)/r! |
Ω |
0.78232595441027 |
Real period |
R |
2.8549241593503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110ci1 95550j1 |
Quadratic twists by: 5 -7 |