Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400r |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
677600000000 = 211 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7008,-219988] |
[a1,a2,a3,a4,a6] |
Generators |
[34062:346375:216] |
Generators of the group modulo torsion |
j |
1189646642/21175 |
j-invariant |
L |
6.7853816953823 |
L(r)(E,1)/r! |
Ω |
0.52235408366259 |
Real period |
R |
6.495002056656 |
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 |
30800g2 123200ci2 3080a2 107800bu2 |
Quadratic twists by: -4 8 5 -7 |