Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608br |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
3820702026329751552 = 238 · 3 · 113 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18554689,30756668447] |
[a1,a2,a3,a4,a6] |
Generators |
[2329:13464:1] |
Generators of the group modulo torsion |
j |
2694913635715921176913/14574821572608 |
j-invariant |
L |
5.5625859466085 |
L(r)(E,1)/r! |
Ω |
0.22037730728503 |
Real period |
R |
4.2068653348627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cg1 3894k1 |
Quadratic twists by: -4 8 |