Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bg |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
-1.08820125156E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4700475,-50034013875] |
[a1,a2,a3,a4,a6] |
Generators |
[51759:11757951:1] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
3.2949617880742 |
L(r)(E,1)/r! |
Ω |
0.041407683769409 |
Real period |
R |
3.6169854559789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bk1 124950ck1 |
Quadratic twists by: 5 -7 |