Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360f |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
11677016332800000 = 212 · 33 · 55 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-781641,266196105] |
[a1,a2,a3,a4,a6] |
Generators |
[1405:44040:1] |
Generators of the group modulo torsion |
j |
12893959887933721024/2850834065625 |
j-invariant |
L |
4.7485526397034 |
L(r)(E,1)/r! |
Ω |
0.39161534055183 |
Real period |
R |
6.0627766034217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cn1 43680ci1 |
Quadratic twists by: -4 8 |