Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020y |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
16573572282960 = 24 · 33 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325752,-71561119] |
[a1,a2,a3,a4,a6] |
Generators |
[896:18865:1] |
Generators of the group modulo torsion |
j |
75216478666752/326095 |
j-invariant |
L |
7.6674001601029 |
L(r)(E,1)/r! |
Ω |
0.19983791734064 |
Real period |
R |
2.1315608224568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020f3 13860c1 |
Quadratic twists by: -3 -7 |