Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383f |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
120960000 |
Modular degree for the optimal curve |
Δ |
-9.0145775976337E+28 |
Discriminant |
Eigenvalues |
0 3+ -3 5 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,231712423,-14381582643565] |
[a1,a2,a3,a4,a6] |
Generators |
[1015209256882:29174178306335:47437928] |
Generators of the group modulo torsion |
j |
29244894594559580045312/1916124728886196428771 |
j-invariant |
L |
4.5189647206206 |
L(r)(E,1)/r! |
Ω |
0.016187730717993 |
Real period |
R |
11.631661038396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757g1 |
Quadratic twists by: -19 |