Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18088i |
Isogeny class |
Conductor |
18088 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
181111943726336 = 28 · 75 · 17 · 195 |
Discriminant |
Eigenvalues |
2- -2 3 7- 4 -3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15729,391363] |
[a1,a2,a3,a4,a6] |
Generators |
[21:266:1] |
Generators of the group modulo torsion |
j |
1681181858378752/707468530181 |
j-invariant |
L |
4.6475589444183 |
L(r)(E,1)/r! |
Ω |
0.51471608080206 |
Real period |
R |
0.18058728366039 |
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 |
36176e1 126616p1 |
Quadratic twists by: -4 -7 |