Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792z |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11197440 |
Modular degree for the optimal curve |
Δ |
-153823956360192 = -1 · 210 · 315 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -5 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78731521,268861544327] |
[a1,a2,a3,a4,a6] |
Generators |
[640330:1539:125] |
Generators of the group modulo torsion |
j |
-52707168473774069565112576/150218707383 |
j-invariant |
L |
12.355863639241 |
L(r)(E,1)/r! |
Ω |
0.27015703989313 |
Real period |
R |
1.5245285586918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999674486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bh1 13224f1 |
Quadratic twists by: -4 8 |