Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120l |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-6293133721600 = -1 · 226 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3295,-97375] |
[a1,a2,a3,a4,a6] |
Generators |
[9345:175780:27] |
Generators of the group modulo torsion |
j |
15087533111/24006400 |
j-invariant |
L |
8.6395908687429 |
L(r)(E,1)/r! |
Ω |
0.39748341269551 |
Real period |
R |
5.4339316875185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bp1 3410a1 |
Quadratic twists by: -4 8 |