Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315w |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-687238903248046875 = -1 · 310 · 59 · 115 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,106413,-37580760] |
[a1,a2,a3,a4,a6] |
Generators |
[548:13612:1] |
Generators of the group modulo torsion |
j |
182801706156486656/942714544921875 |
j-invariant |
L |
2.6582755955827 |
L(r)(E,1)/r! |
Ω |
0.14401579817433 |
Real period |
R |
0.20509135720458 |
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 |
6105h1 91575bj1 |
Quadratic twists by: -3 5 |