Atkin-Lehner |
2+ 3+ 5- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24510b |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
188236800 = 210 · 32 · 52 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-457,-3899] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:14:1] |
Generators of the group modulo torsion |
j |
10591472326681/188236800 |
j-invariant |
L |
3.0260561262307 |
L(r)(E,1)/r! |
Ω |
1.0333923577853 |
Real period |
R |
1.4641370740906 |
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 |
73530bb1 122550ca1 |
Quadratic twists by: -3 5 |