Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360o |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6521780966400 = 210 · 39 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35643,2587142] |
[a1,a2,a3,a4,a6] |
j |
6708400443364/8736525 |
j-invariant |
L |
2.9975869624261 |
L(r)(E,1)/r! |
Ω |
0.74939681913031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120z2 |
Quadratic twists by: -3 |