Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640o |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1130364928000 = -1 · 224 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,639,50561] |
[a1,a2,a3,a4,a6] |
Generators |
[1795:31248:125] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
7.4695693622372 |
L(r)(E,1)/r! |
Ω |
0.65766434740694 |
Real period |
R |
5.6788614068016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640bc1 770g1 123200bc1 |
Quadratic twists by: -4 8 5 |