Atkin-Lehner |
2+ 5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650i |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-40051648000000 = -1 · 212 · 56 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11651,-572802] |
[a1,a2,a3,a4,a6] |
j |
-11192824869409/2563305472 |
j-invariant |
L |
0.90801001840822 |
L(r)(E,1)/r! |
Ω |
0.22700233019516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4186a1 |
Quadratic twists by: 5 |