Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2464a |
Isogeny class |
Conductor |
2464 |
Conductor |
∏ cp |
4 |
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 |
[35:196:1] |
Generators of the group modulo torsion |
j |
-12487168/26411 |
j-invariant |
L |
2.1745037971161 |
L(r)(E,1)/r! |
Ω |
0.75475865630816 |
Real period |
R |
0.72026461006506 |
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 |
2464h1 4928x1 22176q1 61600bl1 |
Quadratic twists by: -4 8 -3 5 |