Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810ch |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
370860948634579200 = 28 · 33 · 52 · 74 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190796,12978029] |
[a1,a2,a3,a4,a6] |
j |
16327137318409/7882963200 |
j-invariant |
L |
4.2950368590556 |
L(r)(E,1)/r! |
Ω |
0.26843980447365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990m1 |
Quadratic twists by: -19 |