Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-222035968000000 = -1 · 224 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46700,3950000] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:2300:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
7.9219780583329 |
L(r)(E,1)/r! |
Ω |
0.56009519870513 |
Real period |
R |
3.535996239192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dy1 3850r1 4928i1 |
Quadratic twists by: -4 8 5 |