Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800l |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
207646000000000 = 210 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 1 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34208,-2323088] |
[a1,a2,a3,a4,a6] |
Generators |
[542:11750:1] |
Generators of the group modulo torsion |
j |
2213550644/103823 |
j-invariant |
L |
3.3764057386909 |
L(r)(E,1)/r! |
Ω |
0.35206817231224 |
Real period |
R |
0.79918370082419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400m1 75200dt1 18800h1 |
Quadratic twists by: -4 8 5 |