Atkin-Lehner |
2- 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310r |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
275031185000 = 23 · 54 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1626,-644] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:142:1] [-186:1351:8] |
Generators of the group modulo torsion |
j |
475446909951649/275031185000 |
j-invariant |
L |
7.6041434169734 |
L(r)(E,1)/r! |
Ω |
0.8236581170128 |
Real period |
R |
1.5386933121701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550j2 |
Quadratic twists by: 5 |