Atkin-Lehner |
2+ 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512a |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1552183429104 = -1 · 24 · 39 · 7 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ -7 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4563,-132921] |
[a1,a2,a3,a4,a6] |
Generators |
[99:621:1] |
Generators of the group modulo torsion |
j |
-33362903808/4928693 |
j-invariant |
L |
3.1623275889881 |
L(r)(E,1)/r! |
Ω |
0.28808720265954 |
Real period |
R |
1.3721225232078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127512x1 |
Quadratic twists by: -3 |