Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120f |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13274100000000 = 28 · 32 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78036,-8362764] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:36:1] |
Generators of the group modulo torsion |
j |
205293080860112464/51851953125 |
j-invariant |
L |
4.3341404838619 |
L(r)(E,1)/r! |
Ω |
0.28564848397316 |
Real period |
R |
2.5288310207812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240p2 108360ca2 |
Quadratic twists by: -4 -3 |