Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300n |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2572306572000000 = 28 · 3 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37308,1331112] |
[a1,a2,a3,a4,a6] |
Generators |
[1546:9125:8] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
4.3415935586752 |
L(r)(E,1)/r! |
Ω |
0.40994582738108 |
Real period |
R |
5.2953259536888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900cf2 1452d2 3300d2 |
Quadratic twists by: -3 5 -11 |