Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920f |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
331725760128000 = 210 · 33 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38643,2789442] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:1932:1] |
Generators of the group modulo torsion |
j |
230819500134828/11998182875 |
j-invariant |
L |
6.4923146204045 |
L(r)(E,1)/r! |
Ω |
0.53415701131946 |
Real period |
R |
0.50642994973883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960be1 115920l1 |
Quadratic twists by: -4 -3 |