Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bm |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1551360000 = 213 · 3 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51720,4510068] |
[a1,a2,a3,a4,a6] |
Generators |
[86:840:1] |
Generators of the group modulo torsion |
j |
3735491132438281/378750 |
j-invariant |
L |
7.2844399141126 |
L(r)(E,1)/r! |
Ω |
1.1594690976153 |
Real period |
R |
1.5706412376783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3030c3 96960bu4 72720bg4 121200cb4 |
Quadratic twists by: -4 8 -3 5 |