Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200w |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
263594736000000 = 210 · 312 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22608,-1057212] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:450:1] |
Generators of the group modulo torsion |
j |
79874724388/16474671 |
j-invariant |
L |
6.4968106921694 |
L(r)(E,1)/r! |
Ω |
0.39499335538096 |
Real period |
R |
0.68532911204547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18600p3 111600bh4 1488c3 |
Quadratic twists by: -4 -3 5 |