Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2640j |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
211200 = 28 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276,-1860] |
[a1,a2,a3,a4,a6] |
Generators |
[26:96:1] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
3.3822630529337 |
L(r)(E,1)/r! |
Ω |
1.1709641370273 |
Real period |
R |
2.888442904426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1320f1 10560bw1 7920p1 13200l1 |
Quadratic twists by: -4 8 -3 5 |