Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520o |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
78440691600000000 = 210 · 314 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-792003,-270957998] |
[a1,a2,a3,a4,a6] |
Generators |
[-13479:2690:27] |
Generators of the group modulo torsion |
j |
73599812355168004/105078515625 |
j-invariant |
L |
4.392635952451 |
L(r)(E,1)/r! |
Ω |
0.16004978100604 |
Real period |
R |
6.8613588922766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14760t1 118080gg1 9840i1 |
Quadratic twists by: -4 8 -3 |