Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315q |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
28179181985625 = 37 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7974,-97457] |
[a1,a2,a3,a4,a6] |
Generators |
[362:6479:1] |
Generators of the group modulo torsion |
j |
76922876001889/38654570625 |
j-invariant |
L |
6.122808717732 |
L(r)(E,1)/r! |
Ω |
0.5324766939746 |
Real period |
R |
0.71867097506526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105b1 91575be1 |
Quadratic twists by: -3 5 |