Atkin-Lehner |
2+ 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464l |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-35544966912 = -1 · 28 · 36 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,-9108] |
[a1,a2,a3,a4,a6] |
Generators |
[34:168:1] |
Generators of the group modulo torsion |
j |
-340062928/138847527 |
j-invariant |
L |
8.1768582298556 |
L(r)(E,1)/r! |
Ω |
0.52023275920681 |
Real period |
R |
1.309807657182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232c1 |
Quadratic twists by: -4 |