Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2464h |
Isogeny class |
Conductor |
2464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-108179456 = -1 · 212 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,539] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:28:1] |
Generators of the group modulo torsion |
j |
-12487168/26411 |
j-invariant |
L |
3.2576320557797 |
L(r)(E,1)/r! |
Ω |
1.6707707608086 |
Real period |
R |
0.24372224875145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2464a1 4928bd1 22176v1 61600bh1 |
Quadratic twists by: -4 8 -3 5 |