Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5880a |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-10372320000 = -1 · 28 · 33 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79641,8677341] |
[a1,a2,a3,a4,a6] |
Generators |
[161:50:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
3.0842245051427 |
L(r)(E,1)/r! |
Ω |
1.0134911693278 |
Real period |
R |
0.38039607527961 |
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 |
11760s1 47040cw1 17640ck1 29400dt1 |
Quadratic twists by: -4 8 -3 5 |