Atkin-Lehner |
3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675l |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2438400 |
Modular degree for the optimal curve |
Δ |
-4.0398627770716E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,927633,903591666] |
[a1,a2,a3,a4,a6] |
Generators |
[-38772842:1474739846:79507] |
Generators of the group modulo torsion |
j |
8370053230707765/38303884108531 |
j-invariant |
L |
8.1211521846922 |
L(r)(E,1)/r! |
Ω |
0.12071900301177 |
Real period |
R |
5.6060989995211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72675p1 72675h1 |
Quadratic twists by: -3 5 |