Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10830w |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
588098329202227500 = 22 · 36 · 54 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-242780,27442577] |
[a1,a2,a3,a4,a6] |
Generators |
[117:751:1] |
Generators of the group modulo torsion |
j |
4904335099/1822500 |
j-invariant |
L |
6.1624251851036 |
L(r)(E,1)/r! |
Ω |
0.2652729615575 |
Real period |
R |
2.9038132782748 |
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 |
86640du2 32490h2 54150o2 10830n2 |
Quadratic twists by: -4 -3 5 -19 |