Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730bf |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
345516840000 = 26 · 36 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2822,-49579] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:99:1] |
Generators of the group modulo torsion |
j |
3408183162649/473960000 |
j-invariant |
L |
7.8219671325164 |
L(r)(E,1)/r! |
Ω |
0.661097130365 |
Real period |
R |
0.49299154726047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970c1 |
Quadratic twists by: -3 |