Atkin-Lehner |
3+ 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395a |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-760565783835 = -1 · 39 · 5 · 112 · 13 · 173 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 11+ 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-336933,75277208] |
[a1,a2,a3,a4,a6] |
Generators |
[252:-2525:1] [208:3767:1] |
Generators of the group modulo torsion |
j |
-214913187891007488/38640745 |
j-invariant |
L |
4.6814015179914 |
L(r)(E,1)/r! |
Ω |
0.70768668658238 |
Real period |
R |
0.55125636868157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109395e1 |
Quadratic twists by: -3 |