Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
24850y |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-21181021750000 = -1 · 24 · 56 · 75 · 712 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6387,-99469] |
[a1,a2,a3,a4,a6] |
j |
1844124275447/1355585392 |
j-invariant |
L |
7.6368882929029 |
L(r)(E,1)/r! |
Ω |
0.38184441464515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994b1 |
Quadratic twists by: 5 |