Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200cc |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
446148000000 = 28 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11775,490750] |
[a1,a2,a3,a4,a6] |
Generators |
[90:400:1] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
4.8691392869487 |
L(r)(E,1)/r! |
Ω |
0.94175541332962 |
Real period |
R |
2.5851400575609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600co1 20400z1 2448d1 |
Quadratic twists by: -4 -3 5 |