Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646h |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-3343410621365024 = -1 · 25 · 79 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -6 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41039,-4243550] |
[a1,a2,a3,a4,a6] |
Generators |
[357172:26486545:64] |
Generators of the group modulo torsion |
j |
-189415907407/82852832 |
j-invariant |
L |
3.7242553744981 |
L(r)(E,1)/r! |
Ω |
0.16422525537549 |
Real period |
R |
5.6694315469103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646n1 |
Quadratic twists by: -7 |