Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760b |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-119829587558400 = -1 · 234 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3839,-519935] |
[a1,a2,a3,a4,a6] |
Generators |
[163:2100:1] |
Generators of the group modulo torsion |
j |
23862997439/457113600 |
j-invariant |
L |
3.8324135107938 |
L(r)(E,1)/r! |
Ω |
0.2867122201276 |
Real period |
R |
3.3416900656417 |
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 |
29760cm1 930o1 89280ca1 |
Quadratic twists by: -4 8 -3 |