Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5880b |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-531284060160 = -1 · 211 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,-12564] |
[a1,a2,a3,a4,a6] |
Generators |
[33:294:1] |
Generators of the group modulo torsion |
j |
68782/45 |
j-invariant |
L |
3.2158333574905 |
L(r)(E,1)/r! |
Ω |
0.52825477005777 |
Real period |
R |
1.0146093450132 |
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 |
11760u1 47040cy1 17640cm1 29400du1 |
Quadratic twists by: -4 8 -3 5 |