Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2640p |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-3207600 = -1 · 24 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1242:1] |
Generators of the group modulo torsion |
j |
-488095744/200475 |
j-invariant |
L |
2.8939541934702 |
L(r)(E,1)/r! |
Ω |
0.92283369901029 |
Real period |
R |
3.135943341226 |
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 |
660c1 10560cj1 7920bh1 13200cm1 |
Quadratic twists by: -4 8 -3 5 |