Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bc |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
1.9727946228758E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6289248,6067041428] |
[a1,a2,a3,a4,a6] |
j |
61398847532302336/44027317125 |
j-invariant |
L |
2.1466940245627 |
L(r)(E,1)/r! |
Ω |
0.21466941387446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340g1 97020cr1 |
Quadratic twists by: -3 -7 |