Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ef |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1114555554201600 = 218 · 38 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41907,-2885006] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:378:1] [-142:450:1] |
Generators of the group modulo torsion |
j |
2725812332209/373262400 |
j-invariant |
L |
11.948813690883 |
L(r)(E,1)/r! |
Ω |
0.33670787304186 |
Real period |
R |
4.4358977937953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001208 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14490be2 38640cn2 |
Quadratic twists by: -4 -3 |