Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582d |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39599282863158192 = -1 · 24 · 35 · 173 · 735 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 0 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9931,-9562467] |
[a1,a2,a3,a4,a6] |
Generators |
[694:17879:1] |
Generators of the group modulo torsion |
j |
22043855823319/8060102353584 |
j-invariant |
L |
4.1134614715099 |
L(r)(E,1)/r! |
Ω |
0.17043253852278 |
Real period |
R |
6.033855673428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000275924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582v2 |
Quadratic twists by: 17 |