Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080m |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-986316800 = -1 · 217 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2280,-42700] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/240800 |
j-invariant |
L |
2.7633784880376 |
L(r)(E,1)/r! |
Ω |
0.34542231100471 |
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 |
3010c1 96320bg1 120400bm1 |
Quadratic twists by: -4 8 5 |