Atkin-Lehner |
3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24453h |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1137920 |
Modular degree for the optimal curve |
Δ |
138702878297666397 = 320 · 115 · 13 · 19 |
Discriminant |
Eigenvalues |
2 3- -4 -1 11- 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4340847,-3481000439] |
[a1,a2,a3,a4,a6] |
j |
12408509569080558997504/190264579283493 |
j-invariant |
L |
1.045938946265 |
L(r)(E,1)/r! |
Ω |
0.10459389462649 |
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 |
8151b1 |
Quadratic twists by: -3 |