Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320o |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2767387599648000 = 28 · 316 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251103,-48365102] |
[a1,a2,a3,a4,a6] |
j |
9382356325137616/14828680125 |
j-invariant |
L |
3.4126972482675 |
L(r)(E,1)/r! |
Ω |
0.21329359017067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440ba2 |
Quadratic twists by: -3 |