Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080g |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-291144375000000 = -1 · 26 · 38 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168726,26744976] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:7304:1] [174:1620:1] |
Generators of the group modulo torsion |
j |
-8300272382462293696/4549130859375 |
j-invariant |
L |
6.7193500669523 |
L(r)(E,1)/r! |
Ω |
0.54049631079598 |
Real period |
R |
6.215907428727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080n1 68160dp1 102240bi1 |
Quadratic twists by: -4 8 -3 |